Fourier-Mukai partners of singular genus one curves
arXiv:1405.1318 · doi:10.1016/j.geomphys.2014.05.011
Abstract
The objective of the paper is to prove that, as it happens for smooth elliptic curves, any Fourier-Mukai partner of a projective reduced Gorenstein curve of genus one and trivial dualising sheaf, is isomorphic to itself.
arXiv comment12 pages. Final version. To appear in J. Geom. Phys
References in corpus (10)
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models
- Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
- Uniqueness of enhancement for triangulated categories
- Formal completions and idempotent completions of triangulated categories of singularities
- Taniguchi Lecture on Principal Bundles on Elliptic Fibrations
- Stable sheaves on elliptic fibrations
- An example of Fourier--Mukai partners of minimal elliptic surfaces
- Equivalences of derived categories of sheaves on quasi-projective schemes
- Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras
- Relative singularity category of a non-commutative resolution of singularities