Corpus ID: 56056774

Fourier-Mukai transforms of slope stable torsion-free sheaves and stable 1-dimensional sheaves on Weierstrass elliptic threefolds

@article{Lo2017FourierMukaiTO,
  title={Fourier-Mukai transforms of slope stable torsion-free sheaves and stable 1-dimensional sheaves on Weierstrass elliptic threefolds},
  author={J. Lo},
  journal={arXiv: Algebraic Geometry},
  year={2017}
}
  • J. Lo
  • Published 2017
  • Mathematics
  • arXiv: Algebraic Geometry
  • We focus on a class of Weierstrass elliptic threefolds that allows the base of the fibration to be a Fano surface or a numerically $K$-trivial surface. In the first half of this article, we define the notion of limit tilt stability, which is closely related to Bayer's polynomial stability. We show that the Fourier-Mukai transform of a slope stable torsion-free sheaf satisfying a vanishing condition in codimension 2 (e.g. a reflexive sheaf) is a limit stable object. We also show that the inverse… CONTINUE READING
    4 Citations
    Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic surfaces
    Fourier-Mukai transforms and stable sheaves on Weierstrass elliptic surfaces.
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    Weight functions, tilts, and stability conditions
    A framework for torsion theory computations on elliptic threefolds

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