Kummer structures on a \(K3\) surface: An old question of T. Shioda

DOI10.1215/S0012-7094-03-12036-0zbMath1051.14046arXivmath/0202082OpenAlexW2007262464MaRDI QIDQ1430450

Keiji Oguiso, Shinobu Hosono, Bong H. Lian, Shing Tung Yau

Publication date: 27 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202082

zbMATH Keywords

derived categoriesFourier-Mukai transformKummer surfaceabelian surface

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28)

Related Items

Lifting automorphisms on abelian varieties as derived autoequivalences, Correspondences between \(K3\) surfaces (with an appendix by Igor Dolgachev), Derived categories and Kummer varieties, Explicit Nikulin configurations on Kummer surfaces, Number of Kummer structures and moduli spaces of generalized Kummer surfaces, Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci, Counting elliptic fibrations on \(\mathrm{K}3\) surfaces, A note on Fourier-Mukai partners of abelian varieties over positive characteristic fields, Fourier-Mukai partners of canonical covers of bielliptic and Enriques surfaces, Construction of Nikulin configurations on some Kummer surfaces and applications, Modular invariants for lattice polarized \(K3\) surfaces, Some remarks about the FM-partners of \(K\)3 surfaces with Picard numbers 1 and 2, Some remarks on L-equivalence of algebraic varieties, Local families of K3 surfaces and applications, A counterexample of the birational Torelli problem via Fourier–Mukai transforms

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