258 citations · 1.5k across the 42 of their papers we have counts for
12 papers · 1 filter
Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds
Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu +1
Let be a very general Gushel-Mukai (GM) variety of dimension , and let be a smooth hyperplane section. There are natural pull-back and push-forward functors betwee…
Hyperkähler varieties as Brill-Noether loci on curves
Soheyla Feyzbakhsh
Consider the moduli space of stable rank r vector bundles on a curve with canonical determinant, and let be the maximum number of linearly independent global…
Explicit formulae for rank zero DT invariants and the OSV conjecture
Soheyla Feyzbakhsh
Fix a Calabi-Yau 3-fold satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as the quintic 3-fold. By two different wall-crossing arguments we prove two diff…
Serre-invariant stability conditions and Ulrich bundles on cubic threefolds
Soheyla Feyzbakhsh, Laura Pertusi
We prove a general criterion which ensures that a fractional Calabi--Yau category of dimension admits a unique Serre-invariant stability condition, up to the action of the…
Rank DT theory from rank
Soheyla Feyzbakhsh, Richard P. Thomas
Fix a Calabi-Yau 3-fold satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as the quintic 3-fold. We express Joyce's generalised DT invariants counting Gies…
Rank DT theory from rank
Soheyla Feyzbakhsh, Richard P. Thomas
Fix a Calabi-Yau 3-fold satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as the quintic 3-fold. We express Joyce's generalised DT invariants counting Gies…
The desingularization of the theta divisor of a cubic threefold as a moduli space
Arend Bayer, Sjoerd Beentjes, Soheyla Feyzbakhsh +4
We show that the moduli space of Gieseker stable sheaves on a smooth cubic threefold with Chern character is smooth and of dimensi…
Curve counting and S-duality
Soheyla Feyzbakhsh, Richard P. Thomas
We work on a projective threefold which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as or the quintic threefold. We prove certain moduli…
An application of wall-crossing to Noether-Lefschetz loci
Soheyla Feyzbakhsh, Richard P. Thomas
Consider a smooth projective 3-fold satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda (such as , the quintic threefold or an abelian threefold). Let…
Higher rank Clifford indices of curves on a K3 surface
Soheyla Feyzbakhsh, Chunyi Li
Let be a polarized K3 surface with , and let be a smooth curve of genus . We give an upper bound on the dimension of global sec…
Mukai's program (reconstructing a K3 surface from a curve) via wall-crossing
Soheyla Feyzbakhsh
Let be a curve of genus such that is a composite number. Suppose is on a K3 surface whose Picard group is generated by the curve class . We use wall-…
An effective restriction theorem via wall-crossing and Mercat's conjecture
Soheyla Feyzbakhsh
We prove an effective restriction theorem for stable vector bundles on a smooth projective variety: is (semi)stable for all irreducible divisors for all …