Soheyla Feyzbakhsh

activity

20202026

collaborators

6 papers

math.AG2026

Stability conditions on threefolds

Yiran Cheng, Soheyla Feyzbakhsh

We investigate a subspace of Bridgeland stability conditions on $\PP^n$ satisfying the so-called Li condition. These are the stability conditions whose restriction to a smooth proj…

math.AG2025

Derived category of coherent systems on curves and stability conditions

Soheyla Feyzbakhsh, Aliaksandra Novik

Let $C$ be a smooth projective curve of genus $g > 0$ . We describe an open locus of Bridgeland stability conditions on the bounded derived category of coherent systems on $C$ , and sh…

math.AG2025

Stability conditions on Calabi-Yau threefolds via Brill-Noether theory of curves

Soheyla Feyzbakhsh, Naoki Koseki, Zhiyu Liu +1

Fix a polarised Calabi-Yau threefold $(X, H)$ . We reduce a version of the Bayer-Macrì-Toda conjecture for $(X, H)$ , which ensures the existence of Bridgeland stability conditions on…

math.AG2025

Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions

Gavril Farkas, Soheyla Feyzbakhsh, Andrés Rojas

We develop a novel approach to the Brill-Noether theory of curves endowed with a degree k cover of the projective line via Bridgeland stability conditions on elliptic K3 surfaces.…

math.AG2025

Double EPW cubes from twisted cubics on Gushel-Mukai fourfolds

Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu +1

In this paper, we conduct the first systematic investigation of twisted cubics on Gushel-Mukai (GM) fourfolds. We then study the double EPW cube, a 6-dimensional hyperkähler manifo…

math.AG2020

Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II

Soheyla Feyzbakhsh

Let $C$ be a curve on a K3 surface $X$ with Picard group $Z . [C]$ . Mukai's program seeks to recover $X$ from $C$ by exhibiting it as a Fourier-Mukai partner to a Brill-Noet…