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Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck
Language: en
Pages: 181
Authors: Jean-Michel Bismut
Categories: Mathematics
Type: BOOK - Published: 2023-12-15 - Publisher: Springer Nature

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This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent shea
Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck
Language: en
Pages: 0
Authors: Jean-Michel Bismut
Categories: Mathematics
Type: BOOK - Published: 2023-06-03 - Publisher: Birkhäuser

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This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent shea
Hypoelliptic Laplacian and Bott–Chern Cohomology
Language: en
Pages: 211
Authors: Jean-Michel Bismut
Categories: Mathematics
Type: BOOK - Published: 2013-05-23 - Publisher: Springer Science & Business Media

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The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann–Roch–Grothendieck for proper
Liouville-Riemann-Roch Theorems on Abelian Coverings
Language: en
Pages: 103
Authors: Minh Kha
Categories: Mathematics
Type: BOOK - Published: 2021-02-12 - Publisher: Springer Nature

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This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as po
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
Language: en
Pages: 118
Authors: Gerd Faltings
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book i