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Lectures on the arithmetic Reimann-Roch theorem

저자: Gerd Faltings
출판사: Princeton (New Jersey) : Princeton University Press, 1992.
시리즈: Annals of mathematics studies, no. 127.
판/형식:   Print book : 영어모든 판과 형식 보기
데이터베이스:WorldCat
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The arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents  더 읽기…

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문서 형식:
모든 저자 / 참여자: Gerd Faltings
ISBN: 0691087717 9780691087719 0691025444 9780691025445
OCLC 번호: 439609274
설명: x, 100 str. ; 25 cm.
내용: IntroductionList of SymbolsLecture 1Classical Riemann-Roch Theorem3Lecture 2Chern Classes of Arithmetic Vector Bundles15Lecture 3Laplacians and Heat Kernels29Lecture 4The Local Index Theorem for Dirac Operators44Lecture 5Number Operators and Direct Images62Lecture 6Arithmetic Riemann-Roch Theorem77Lecture 7The Theorem of Bismut-Vasserot93References99
일련 제목: Annals of mathematics studies, no. 127.
책임: Gerd Faltings ; notes taken by Shouwu Zhang.

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"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt fur Mathematik

 
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