Autoequivalences of derived categories on the minimal resolutions of An-singularities on surfaces
By A. Ishii, Hokuto Uehara. 2004
80 citations recorded by the source corpus.
In this article, we study the group of autoequivalences of derived categories of coherent sheaves on the minimal resolution of $A_n$-singularities on surfaces. Our main result is to find generators of this group.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d857e7f18b4cb76e34dafa4fff3affa7058e06ce
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Emanuele Macrì
- Arend Bayer
- P. Stellari
- Chunyi Li
- D. Huybrechts
- Sukhendu Mehrotra
- Kazushi Ueda
- Yukinobu Toda
In Statistical and Nonlinear Physics
- Emanuele Macrì
- T. Bridgeland
- Arend Bayer
- Kazushi Ueda
- Hokuto Uehara
- A. Ishii
- P. Stellari
- Sukhendu Mehrotra
Citations in the corpus
- Inducing stability conditions (2007, background): “2 in [21], we have that l(TOC (S)) < l(S).”
- The space of stability conditions on the local projective plane (2009, background): “(Note thatD0 = Db(Coh0) as observed in [ IU05 ], Notation and Conven-”
- Stability Conditions on An-Singularities (2010, methodology): “6 in [30], we can show that for a spherical object E ∈ C with l(E) > 1 there is an autoequivalence Φ ∈ Br(C) such that l(E) > l(Φ(E)).”
- Derived categories of coherent sheaves (2006, background): “The group of derived autoequivalences of the minimal resolution of a Kleinian singularity was studied in [23].”