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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
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
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
Bott-Chern Characteristic Forms and Index Theorems for Coherent Sheaves on Complex Manifolds
Language: en
Pages: 0
Authors: Hua Qiang
Categories:
Type: BOOK - Published: 2017 - Publisher:

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In the paper [Blo10], Block constructed a dg-category P A0,· using cohesive modules which is a dg-enhancement of Db Coh(X), the bounded derived category of com
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