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Fourier-Mukai transform of vector bundles on surfaces to Hilbert scheme

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Publication:4972487
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zbMath1428.14026arXiv1605.06229MaRDI QIDQ4972487

Indranil Biswas, Donihakalu Shankar Nagaraj

Publication date: 25 November 2019

Full work available at URL: https://arxiv.org/abs/1605.06229



Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)


Related Items (4)

Fourier-Mukai transformation and logarithmic Higgs bundles on punctual Hilbert schemes ⋮ Hilbert squares: derived categories and deformations ⋮ Quot schemes and Fourier-Mukai transformation ⋮ Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points



Cites Work

  • Unnamed Item
  • Derived autoequivalences of generalised Kummer varieties
  • Semistable sheaves on projective varieties and their restriction to curves
  • Reconstructing vector bundles on curves from their direct image on symmetric powers
  • Hilbert schemes of K3 surfaces are dense in moduli
  • New derived symmetries of some hyperkähler varieties
  • Algebraic Families on an Algebraic Surface




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