جزییات کتاب
This book presents a complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space. Most results are new and have never been published before. Highlights of the book include a classification of semi-abelian schemes, construction of the toroidal and the minimal compactification over the integers, heights for abelian varieties over number fields, and Eichler integrals in several variables. The book also provides a new approach to Siegel modular forms. This work should serve as a valuable reference source for researchers and graduate students interested in algebraic geometry, Shimura varieties, or diophantine geometry.
درباره نویسنده
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گرد فالتینگز (به آلمانی: Gerd Faltings) (زاده ۲۸ ژوئیه۱۹۵۴ در گلزنکیرشن) ریاضیدان اهل آلمان است. او بیشتر به خاطر اثبات حدس موردل که برای آن در سال ۱۹۸۶ مدال فیلدز را دریافت کرد نامبردار است.