Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Brown, Michael K."'
Autor:
Brown, Michael K., Sridhar, Prashanth
We generalize Yekutieli-Zhang's noncommutative Serre Duality Theorem to the setting of noncommutative spaces associated to dg-algebras. As an application, we establish some finiteness properties of derived global sections over such noncommutative spa
Externí odkaz:
http://arxiv.org/abs/2410.07204
Autor:
Brown, Michael K., Walker, Mark E.
Given a complex affine hypersurface with isolated singularity determined by a homogeneous polynomial, we identify the noncommutative Hodge structure on the periodic cyclic homology of its singularity category with the classical Hodge structure on the
Externí odkaz:
http://arxiv.org/abs/2407.09988
Autor:
Banks, Maya, Brown, Michael K., Gomes, Tara, Sridhar, Prashanth, Davila, Eduardo Torres, Zotine, Alexandre
We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-Stillman, which concerns the standard graded BGG correspondence. In ad
Externí odkaz:
http://arxiv.org/abs/2402.12293
Autor:
Brown, Michael K., Sridhar, Prashanth
A landmark theorem of Orlov relates the singularity category of a graded Gorenstein algebra to the derived category of the associated noncommutative projective scheme. We generalize this theorem to the setting of differential graded algebras. As an a
Externí odkaz:
http://arxiv.org/abs/2312.17422
Autor:
Brown, Michael K., Walker, Mark E.
Publikováno v:
Ann. K-Th. 9 (2024) 341-367
We prove that the d\'evissage property holds for periodic cyclic homology for a local complete intersection embedding into a smooth scheme. As a consequence, we show that the complexified topological Chern character maps for the bounded derived categ
Externí odkaz:
http://arxiv.org/abs/2307.14261
We study the asymptotic behavior of the ideals of minors in minimal free resolutions over local rings. In particular, we prove that such ideals are eventually 2-periodic over complete intersections and Golod rings. We also establish general results o
Externí odkaz:
http://arxiv.org/abs/2306.00903
Autor:
Brown, Michael K., Erman, Daniel
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e56
We give a short, new proof of a recent result of Hanlon-Hicks-Lazarev about toric varieties. As in their work, this leads to a proof of a conjecture of Berkesch-Erman-Smith on virtual resolutions and to a resolution of the diagonal in the simplicial
Externí odkaz:
http://arxiv.org/abs/2303.14319
Autor:
Brown, Michael K., Erman, Daniel
A foundational principle in the study of modules over standard graded polynomial rings is that geometric positivity conditions imply vanishing of Betti numbers. The main goal of this paper is to determine the extent to which this principle extends to
Externí odkaz:
http://arxiv.org/abs/2302.07403
Autor:
Brown, Michael K., Erman, Daniel
We develop analogues of Green's $N_p$-conditions for subvarieties of weighted projective space, and we prove that such $N_p$-conditions are satisfied for high degree embeddings of curves in weighted projective space. A key technical result links posi
Externí odkaz:
http://arxiv.org/abs/2301.09150
Autor:
Brown, Michael K., Walker, Mark E.
We prove that equivariant matrix factorization categories associated to henselian local hypersurface rings are idempotent complete, generalizing a result of Dyckerhoff in the non-equivariant case.
Comment: 6 pages. To appear in the Journal of Al
Comment: 6 pages. To appear in the Journal of Al
Externí odkaz:
http://arxiv.org/abs/2212.14469