Infinitesimal Derived Torelli Theorem for K3 Surfaces (with an Appendix by Sukhendu Mehrotra)

DOI10.1093/imrn/rnp049zbMath1174.14018arXiv0804.2552OpenAlexW2048605232MaRDI QIDQ3396250

Paolo Stellari, Emanuele Macrì

Publication date: 16 September 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2552

zbMATH Keywords

Hochschild cohomologyderived categories\(K3\) surfacesinfinitesimal deformationsTorelli Theorem

Mathematics Subject Classification ID

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Hodge theory and derived categories of cubic fourfolds ⋮ Derived equivalences of hyperkähler varieties ⋮ Hochschild entropy and categorical entropy ⋮ The K3 category of a cubic fourfold ⋮ A variant of the Mukai pairing via deformation quantization ⋮ Homogeneity of cohomology classes associated with Koszul matrix factorizations ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Symplectic topology of $K3$ surfaces via mirror symmetry ⋮ Non-commutative deformations and quasi-coherent modules ⋮ Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives ⋮ Lefschetz fixed point theorems for Fourier-Mukai functors and DG algebras ⋮ Derived equivalences of K3 surfaces and orientation ⋮ Categorical vs topological entropy of autoequivalences of surfaces

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