Articoli correlati a Lectures on Hilbert Modular Varieties and Modular Forms
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As part of a series sponsored by the U. of Montreal's Centre de Recherches MathTmatiques (CRM), and as an expanded version of a year-long graduate course in number theory and arithmetic geometry, this text offers a "gentle introduction" to selected topics in the general and particular theories relating to Abelian varieties, and the relationship between the geometry of their moduli spaces and the arithmetic of Hilbert modular forms. Includes exercises of varying difficulty, and appendices covering group schemes and calculating with cusps. Assumes reader familiarity with the theory of elliptic curves and one-dimensional modular forms to appreciate the beauty of this treatment. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Lectures on Hilbert Modular Varieties and Modular Forms
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Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series)
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Condizione: New. Discusses certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. This book presents the theory of $p$-adic modular forms in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. Series: CRM Monograph Series. Num Pages: 270 pages, index, notes. BIC Classification: PBH; PBKF; PBM. Category: (P) Professional & Vocational. Dimension: 235 x 222. Weight in Grams: 710. . 2001. Hardcover. . . . . Codice articolo V9780821819951
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Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series, V. 14)
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Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph Series, 14, Band 14)
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Lectures on Hilbert Modular Varieties and Modular Forms
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Hardback. Condizione: New. This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of $p$-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. It is re-interpreted from a geometric point of view, which is developed to present the rudiments of a similar theory for Hilbert modular forms. The theory of moduli spaces of abelian varieties with real multiplication is presented first very explicitly over the complex numbers. Aspects of the general theory are then exposed, in particular, local deformation theory of abelian varieties in positive characteristic.The arithmetic of $p$-adic Hilbert modular forms and the geometry of moduli spaces of abelian varieties are related. This relation is used to study $q$-expansions of Hilbert modular forms, on the one hand, and stratifications of moduli spaces on the other hand. The book is addressed to graduate students and non-experts. It attempts to provide the necessary background to all concepts exposed in it. It may serve as a textbook for an advanced graduate course. Codice articolo LU-9780821819951
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Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series)
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ISBN 13: 9780821819951
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Condizione: New. Discusses certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. This book presents the theory of $p$-adic modular forms in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. Series: CRM Monograph Series. Num Pages: 270 pages, index, notes. BIC Classification: PBH; PBKF; PBM. Category: (P) Professional & Vocational. Dimension: 235 x 222. Weight in Grams: 710. . 2001. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821819951
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Lectures on Hilbert Modular Varieties and Modular Forms
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Lectures on Hilbert Modular Varieties and Modular Forms
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American Mathematical Society, US, 2001
ISBN 10: 082181995X
ISBN 13: 9780821819951
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Hardback. Condizione: New. This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of $p$-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. It is re-interpreted from a geometric point of view, which is developed to present the rudiments of a similar theory for Hilbert modular forms. The theory of moduli spaces of abelian varieties with real multiplication is presented first very explicitly over the complex numbers. Aspects of the general theory are then exposed, in particular, local deformation theory of abelian varieties in positive characteristic.The arithmetic of $p$-adic Hilbert modular forms and the geometry of moduli spaces of abelian varieties are related. This relation is used to study $q$-expansions of Hilbert modular forms, on the one hand, and stratifications of moduli spaces on the other hand. The book is addressed to graduate students and non-experts. It attempts to provide the necessary background to all concepts exposed in it. It may serve as a textbook for an advanced graduate course. Codice articolo LU-9780821819951
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Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph Series, 14, Band 14) Goren, Eyal Z.
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Condizione: gut. 2001. Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph Series, 14, Band 14) In englischer Sprache. pages. Codice articolo BN481605
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