Braid and phantom
J Tevelev - arXiv preprint arXiv:2304.01825, 2023 - arxiv.org
Let N be the moduli space of stable rank 2 vector bundles on a smooth projective curve of
genus g> 1 with fixed odd determinant. With Sebastian Torres, we previously found a semi …
genus g> 1 with fixed odd determinant. With Sebastian Torres, we previously found a semi …
Bott vanishing using GIT and quantization
S Torres - arXiv preprint arXiv:2003.10617, 2020 - projecteuclid.org
A smooth projective variety Y is said to satisfy Bott vanishing if j Y⊗ L has no higher
cohomology for every j and every ample line bundle L. Few examples are known to satisfy …
cohomology for every j and every ample line bundle L. Few examples are known to satisfy …
The BGMN conjecture via stable pairs
J Tevelev, S Torres - arXiv preprint arXiv:2108.11951, 2021 - arxiv.org
Let $ C $ be a smooth projective curve of genus $ g\ge2 $ and let $ N $ be the moduli space
of stable rank $2 $ vector bundles on $ C $ of odd degree. We construct a semi-orthogonal …
of stable rank $2 $ vector bundles on $ C $ of odd degree. We construct a semi-orthogonal …
Derived categories of centrally‐symmetric smooth toric Fano varieties.
MR Ballard, A Duncan… - Mathematische …, 2022 - search.ebscohost.com
Derived categories of centrally‐symmetric smooth toric Fano varieties Page 1
Received: 16 August 2019 Revised: 27 May 2020 Accepted: 16 June 2020 DOI: 10.1002/mana.201900358 …
Received: 16 August 2019 Revised: 27 May 2020 Accepted: 16 June 2020 DOI: 10.1002/mana.201900358 …
Windows in algebraic geometry and applications to moduli
S Torres - 2021 - scholarworks.umass.edu
We apply the theory of windows, as developed by Halpern-Leistner and by Ballard, Favero
and Katzarkov, to study certain moduli spaces and their derived categories. Using …
and Katzarkov, to study certain moduli spaces and their derived categories. Using …