Derived Categories View on Rationality Problems

DOI10.1007/978-3-319-46209-7_3zbMath1368.14029arXiv1509.09115OpenAlexW2239060361MaRDI QIDQ5283142

Alexander G. Kuznetsov

Publication date: 19 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09115

Mathematics Subject Classification ID

Rationality questions in algebraic geometry (14E08)

Related Items

Categorical dimension of birational transformations and filtrations of Cremona groups, Homological projective duality for determinantal varieties, Cubic Fourfolds, K3 Surfaces, and Rationality Questions, Derived Categories of Cubic Fourfolds, A note on semiorthogonal indecomposability of some Cohen-Macaulay varieties, Birational geometry of some universal families of \(n\)-pointed Fano fourfolds, Küchle fivefolds of type c5, The integral Hodge conjecture for two-dimensional Calabi–Yau categories, Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations, Gluing semi-orthogonal decompositions, Cubic fourfolds, Kuznetsov components, and Chow motives, Frobenius and spherical codomains and neighbourhoods, Infinitesimal categorical Torelli theorems for Fano threefolds, Kuznetsov's Fano threefold conjecture via \(K3\) categories and enhanced group actions, Homological Bondal-Orlov localization conjecture for rational singularities, Derived categories of hearts on Kuznetsov components, Kernels of categorical resolutions of nodal singularities, Categorical cones and quadratic homological projective duality, Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds, Categorical Torelli theorems: results and open problems, Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes, CATEGORIES, ONE-CYCLES ON CUBIC FOURFOLDS, AND THE BEAUVILLE–VOISIN FILTRATION, New examples of rational Gushel-Mukai fourfolds, Birational Geometry and Derived Categories, Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces, No phantoms in the derived category of curves over arbitrary fields, and derived characterizations of Brauer-Severi varieties, Derived categories of Gushel–Mukai varieties, Some new rational Gushel fourfolds, Special cubic birational transformations of projective spaces, Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces, Cubic fourfolds with an involution, A note on semiorthogonal decompositions for Fano fibrations

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