A note on cotangent sheaves of Hilbert schemes of families of planar curves

• Ziv Ran ^[1]
  1. [1] University of California, USA
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 10 (October 2015), 2015, págs. 4441-4445
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.02.025
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• Resumen

  • For a family of locally planar curves, the cotangent complex of the Hilbert scheme of points is equivalent to the Fourier–Mukai transform of the cotangent complex of the original family.