Fourier–Mukai partners of elliptic ruled surfaces

DOI10.1090/proc/13471zbMath1391.14031arXiv1511.06031OpenAlexW2962932629MaRDI QIDQ5270126

Hokuto Uehara

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06031

zbMATH Keywords

elliptic fibrationselliptic surfacesFourier-Mukai partnersautoequivalenceselliptic ruled surfacesgroup of autoequivalences

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (3)

Derived equivalences and Kodaira fibers ⋮ Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface ⋮ A trichotomy for the autoequivalence groups on smooth projective surfaces

Cites Work

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• \(D\)-equivalence and \(K\)-equivalence
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• On automorphism groups of ruled surfaces
• A counterexample of the birational Torelli problem via Fourier–Mukai transforms
• Fourier-Mukai transforms for elliptic surfaces
• A trichotomy for the autoequivalence groups on smooth projective surfaces
• Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension
• Complex surfaces with equivalent derived categories

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