Arithmetic and Algebraic Geometry
Springer International Publishing (Verlag)
978-3-031-74133-3 (ISBN)
- Noch nicht erschienen - erscheint am 31.01.2025
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This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023. Manin was one of the giants of modern mathematics. His work covered a wide range of fields, including logic, number theory, geometry, mathematical physics, theoretical computer science, and linguistics. The contributions collected here are on topics close to his life-long passion: arithmetic and algebraic geometry.
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.
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.
| Erscheint lt. Verlag | 31.1.2025 |
|---|---|
| Reihe/Serie | Simons Symposia |
| Zusatzinfo | VI, 469 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Naturwissenschaften ► Physik / Astronomie | |
| Schlagworte | abelian varieties and endomorphisms • Arithmetic Geometry • birational geometry • cluster varieties • homogeneous spaces • ind-geometry • knot invariants • minimal model program • minimal models for foliations • Noncommutative Geometry • Rational points • Representation Theory • Toric Geometry • Zeta functions |
| ISBN-10 | 3-031-74133-1 / 3031741331 |
| ISBN-13 | 978-3-031-74133-3 / 9783031741333 |
| Zustand | Neuware |
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