9780691128627 - integration of one-forms on p-adic analytic spaces di berkovich, vladimir g. (17 risultati)
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: New. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early 19…80s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed.In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path. Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Condizione: New. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at gra…duate students and mathematicians. Series: Annals of Mathematics Studies. Num Pages: 168 pages, 14 line illus. BIC Classification: PBKJ; PBMS. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 12. Weight in Grams: 28. . 2006. Paperback. . . . .
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Editore: Princeton University Press 2006
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- Brossura
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Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Condizione: New. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at gra…duate students and mathematicians. Series: Annals of Mathematics Studies. Num Pages: 168 pages, 14 line illus. BIC Classification: PBKJ; PBMS. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 12. Weight in Grams: 28. . 2006. Paperback. . . . . Books ship from the US and Ireland.
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
- Brossura
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Lingua: Inglese
Editore: Princeton University Press, US 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
- Brossura
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Paperback. Condizione: New. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily have a primitive in the class of analytic functions. In the early 19…80s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed.In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path. Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
Lingua: Inglese
Editore: Princeton Univ Pr 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: Brand New. 168 pages. 9.00x6.00x0.75 inches. In Stock.
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Lingua: Inglese
Editore: Princeton Univ Pr 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Paperback. Condizione: Brand New. 168 pages. 9.00x6.00x0.75 inches. In Stock. This item is printed on demand.
Lingua: Inglese
Editore: Princeton University Press 2006
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf… of functions that includes analytic ones.
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Taschenbuch. Condizione: Neu. Integration of One-forms on P-adic Analytic Spaces | Vladimir G. Berkovich | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2006 | Princeton University Press | EAN 9780691128627 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter…: preigu Print on Demand.
Lingua: Inglese
Editore: Princeton University Press 2006
Serie: Annals of Mathematics Studies, Libro 11 di 202. Libro 11 di 202 - Annals of Mathematics Studies
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic analytic one-form defined on a simply-connected domain does not necessarily ha…ve a primitive in the class of analytic functions. In the early 1980s, Robert Coleman discovered a way to construct primitives of analytic one-forms on certain smooth p-adic analytic curves in a bigger class of functions. Since then, there have been several attempts to generalize his ideas to smooth p-adic analytic spaces of higher dimension, but the spaces considered were invariably associated with algebraic varieties.This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed. In consequence, one constructs a parallel transport of local solutions of a unipotent differential equation and an integral of a closed one-form along a path so that both depend nontrivially on the homotopy class of the path.Both the author's previous results on geometric properties of smooth p-adic analytic spaces and the theory of isocrystals are further developed in this book, which is aimed at graduate students and mathematicians working in the areas of non-Archimedean analytic geometry, number theory, and algebraic geometry.
