Resolutions of toric subvarieties by line bundles and applications
Given any toric subvariety $ Y $ of a smooth toric variety $ X $ of codimension $ k $, we
construct a length $ k $ resolution of $\mathcal O_Y $ by line bundles on $ X $. Furthermore …
construct a length $ k $ resolution of $\mathcal O_Y $ by line bundles on $ X $. Furthermore …
Rouquier dimension is Krull dimension for normal toric varieties
We prove that for any normal toric variety, the Rouquier dimension of its bounded derived
category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent …
category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent …
On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov
S Bai, L Côté - Compositio Mathematica, 2023 - cambridge.org
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and
pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On …
pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On …
High frobenius pushforwards generate the bounded derived category
This work concerns generators for the bounded derived category of coherent sheaves over a
noetherian scheme $ X $ of prime characteristic. The main result is that when the Frobenius …
noetherian scheme $ X $ of prime characteristic. The main result is that when the Frobenius …
Results on virtual resolutions for toric varieties
MK Brown, D Erman - arXiv preprint arXiv:2303.14319, 2023 - arxiv.org
arXiv:2303.14319v1 [math.AG] 25 Mar 2023 Page 1 arXiv:2303.14319v1 [math.AG] 25 Mar 2023
RESULTS ON VIRTUAL RESOLUTIONS FOR TORIC VARIETIES MICHAEL K. BROWN AND …
RESULTS ON VIRTUAL RESOLUTIONS FOR TORIC VARIETIES MICHAEL K. BROWN AND …
A short proof of the Hanlon-Hicks-Lazarev Theorem
MK Brown, D Erman - Forum of Mathematics, Sigma, 2024 - cambridge.org
A short proof of the Hanlon-Hicks-Lazarev Theorem Page 1 Forum of Mathematics, Sigma (2024),
Vol. 12:e56 1–6 doi:10.1017/fms.2024.40 RESEARCH ARTICLE A short proof of the Hanlon-Hicks-Lazarev …
Vol. 12:e56 1–6 doi:10.1017/fms.2024.40 RESEARCH ARTICLE A short proof of the Hanlon-Hicks-Lazarev …
Invariants from Equivariant Transversality in Symplectic Topology and Some Results on the Rouquier Dimension of Wrapped Fukaya Categories
S Bai - 2022 - search.proquest.com
In this thesis, we construct several invariants in low-dimensional topology and symplectic
topology, including a symplectic definition of generalized Casson invariants, an extension of …
topology, including a symplectic definition of generalized Casson invariants, an extension of …