Singularity categories via the derived quotient

@article{Booth2021SingularityCV,
  title={Singularity categories via the derived quotient},
  author={Matt Booth},
  journal={Advances in Mathematics},
  year={2021},
  volume={381},
  pages={107631}
}
  • Matt Booth
  • Published 2021
  • Mathematics
  • Advances in Mathematics
Abstract Given a noncommutative partial resolution A = End R ( R ⊕ M ) of a Gorenstein singularity R, we show that the relative singularity category Δ R ( A ) of Kalck–Yang is controlled by a certain connective dga A / L A e A , the derived quotient of Braun–Chuang–Lazarev. We think of A / L A e A as a kind of ‘derived exceptional locus’ of the partial resolution A, as we show that it can be thought of as the universal dga fitting into a suitable recollement. This theoretical result has… Expand
3 Citations
The derived deformation theory of a point
  • 1
Relative singularity categories III: Cluster resolutions.
  • 3
  • PDF
A lockdown survey on cDV singularities
  • PDF

References

SHOWING 1-10 OF 109 REFERENCES
Cluster categories and rational curves
  • 11
  • PDF
The derived contraction algebra
  • 4
  • PDF
Contractions and deformations
  • 23
  • PDF
Relative singularity categories I: Auslander resolutions
  • 36
  • Highly Influential
  • PDF
Derived localisation of algebras and modules
  • 14
  • Highly Influential
  • PDF
...
1
2
3
4
5
...