[PDF.10rn] Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series)

Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series)

[PDF.av13] Lectures on Hilbert Modular Varieties and Modular Forms (Crm Monograph Series)

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 | #2919870 in Books |  American Mathematical Society, Centre de Recherches Mathematiques |  2001-11-12 | Original language:English |  9.25 x8.75 x.50l,1.55 | File type: PDF | 270 pages

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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 ab...

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