Arithmetic and Algebraic Geometry: A Mathematical Tribute to Yuri Manin

Author:   Yuri Tschinkel
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031741333


Pages:   450
Publication Date:   30 January 2025
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Arithmetic and Algebraic Geometry: A Mathematical Tribute to Yuri Manin


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Author:   Yuri Tschinkel
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031741333


ISBN 10:   3031741331
Pages:   450
Publication Date:   30 January 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Projecting lattice polytopes according to the Minimal Model Program.- Zeta-polynomials, superpolynomials, DAHA and plane curve singularities.- Rational points over C1 fields.- On isomorphisms of ind-varieties of generalized flags.- Spectral description of non-commutative local systems on surfaces and non-commutative cluster varieties.- Semi-stable reduction of foliations.- The Hasse principle for 9-nodal cubic 3-folds.- Manin's work in birational  geometry.- Endomorphism Algebras and Automorphism Groups of certain Complex Tori.

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Yuri Tschinkel’s research is at the interface of algebraic geometry and number theory. He studies higher-dimensional algebraic varieties, their hidden symmetries and rational points. He is the author of 160 papers and editor of 20 books. He is a Fellow of the American Mathematical Society and of the American Association for the Advancement of Science. He is a member of Leopoldina, the German National Academy of Sciences, and a Foreign Member of Academia Europaea.

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