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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:   인쇄본 : 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 유형 도서
모든 저자 / 참여자: Gerd Faltings
ISBN: 0691087717 9780691087719 0691025444 9780691025445
OCLC 번호: 439609274
설명: x, 100 str. ; 25 cm.
내용: Introduction List of Symbols Lecture 1 Classical Riemann-Roch Theorem 3Lecture 2 Chern Classes of Arithmetic Vector Bundles 15Lecture 3 Laplacians and Heat Kernels 29Lecture 4 The Local Index Theorem for Dirac Operators 44Lecture 5 Number Operators and Direct Images 62Lecture 6 Arithmetic Riemann-Roch Theorem 77Lecture 7 The Theorem of Bismut-Vasserot 93 References 99
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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