Yang tonghai (28 risultati)
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Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less.
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: Brand New. 2012 edition. 148 pages. 9.00x6.00x0.50 inches. In Stock.
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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hardcover. Condizione: Gut. 373 Seiten; 9780691125503.3 Gewicht in Gramm: 1.
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to b…e the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Lingua: Inglese
Editore: Princeton University Press, US, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to b…e the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Lingua: Inglese
Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Condizione: New.
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Condizione: New. pp. 388 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Editore: Princeton University Press 2006., 2006
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Condizione: Gebraucht / Used. Paperback. Very good. Vii,373pp.
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Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Condizione: New. pp. 388 Index.
Lingua: Inglese
Editore: Princeton University Press, US, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to b…e the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Lingua: Inglese
Editore: Princeton Univ Pr, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Da: Revaluation Books, Exeter, Regno UnitoRevaluation Books
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Paperback. Condizione: Brand New. 373 pages. 8.75x6.00x1.00 inches. In Stock.
Lingua: Inglese
Editore: Princeton University Press, US, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to b…e the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Lingua: Inglese
Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Da: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, GermaniaBUCHSERVICE / ANTIQUARIAT Lars Lutzer
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Condizione: gut. 2006. Modular Forms & Special Cycles on Shimura Curves (Annals of Mathematics Studies, Band 161) In deutscher Sprache. pages.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orth…ogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch-Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series.This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert modular form of weight one over a real quadratic field, the Shimura variety is a classical Hilbert modular surface, and the special cycles are complex multiplication points and the Hirzebruch Zagier divisors. By developing new techniques in deformation theory, the authors successfully compute the Arakelov intersection multiplicities of these divisors, and show that they agree with the Fourier coefficients of derivatives of Eisenstein series. 152 pp. Englisch.
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Da: moluna, Greven, Germaniamoluna
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Develops new methods in explicit arithmetic intersection theory Develops new techniques for the study of Shimura varieties and automorphic forms, central objects in modern number theory Proves new cases of conjecture…s of S. Kudla.
Lingua: Inglese
Editore: Princeton Univ Pr, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Da: Revaluation Books, Exeter, Regno UnitoRevaluation Books
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Paperback. Condizione: Brand New. 373 pages. 8.75x6.00x1.00 inches. In Stock. This item is printed on demand.
Modular Forms and Special Cycles on Shimura Curves. (AM-161)
Stephen S. Kudla|Michael Rapoport|Tonghai Yang|Michael Rapoport|Tonghai Yang
Lingua: Inglese
Editore: Princeton University Press, 2006
Serie: Annals of Mathematics Studies, Libro 10 di 202. Libro 10 di 202 - Annals of Mathematics Studies
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Da: moluna, Greven, Germaniamoluna
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface M attached to a Shimura curve M over the field of rational numbers.Über den AutorSteph…en S. Kudla..
