4 papers · 1 filter
Derived category of coherent systems on curves and stability conditions
Soheyla Feyzbakhsh, Aliaksandra Novik
Let be a smooth projective curve of genus . We describe an open locus of Bridgeland stability conditions on the bounded derived category of coherent systems on , and sh…
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 . We reduce a version of the Bayer-Macrì-Toda conjecture for , which ensures the existence of Bridgeland stability conditions on…
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.…
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…