Inducing stability conditions
By Emanuele Macrì, Sukhendu Mehrotra, P. Stellari. 2007
61 citations recorded by the source corpus.
We study stability conditions induced by functors between triangulated categories. Given a finite group acting on a smooth projective variety we prove that the subset of invariant stability conditions embeds as a closed submanifold into the stability manifold of the equivariant derived category. As an application we examine stability conditions on Kummer and Enriques surfaces and we improve the derived version of the Torelli Theorem for the latter surfaces already present in the litterature. We also study the relationship between stability conditions on projective spaces and those on their canonical bundles.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bdd1f453bbc0fadd301f49ee3ee7d91809368431
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In Geometry and Topology
- Emanuele Macrì
- Arend Bayer
- P. Stellari
- H. Nuer
- Chunyi Li
- D. Huybrechts
- Benjamin Schmidt
- Yukinobu Toda
In Mathematical Physics
- Emanuele Macrì
- Arend Bayer
- P. Stellari
- H. Nuer
- D. Huybrechts
- Chunyi Li
- Yukinobu Toda
- Benjamin Schmidt
Citations in the corpus
- The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds (2014, background): “1 in [28] deals with stability conditions whose central charge is defined on the Grothendieck group K (X) rather than on the lattice H .”
- Projectivity and birational geometry of Bridgeland moduli spaces on an Enriques surface (2014, background): “, where (−)G denotes taking the G-invariant part. We take the group Aut0(Db(Y)) of those autoequivalences preserving Σ(Y) and inducing the identity on cohomology via the homomorphism Π constructed in [MMS09]. They proved the following result analogous to Theorem 4.1 above: Proposition 4.3. The map η”
- Polynomial Bridgeland stability conditions and the large volume limit (2007, background): “of genus one was considered. • For the case of a K3 surface S, Bridgeland completelydescribed one connected component of Stab(S) in [Bri03] (including a complete description of the ample chamber). In [MMS07], the authors study the space of stability conditions on Kummer and Enriques surfaces. For ar”