Zobrazeno 1 - 10
of 513
pro vyhledávání: '"Lank P"'
This work is concerned with approximability (via Neeman) and Rouquier dimension for triangulated categories associated to noncommutative algebras over schemes. Amongst other things, we establish that the category of perfect complexes of a coherent al
Externí odkaz:
http://arxiv.org/abs/2408.04561
Autor:
Lank, Pat, Venkatesh, Sridhar
This work presents a range of triangulated characterizations for important classes of singularities such as derived splinters, rational singularities, and Du Bois singularities. An invariant called 'level' in a triangulated category can be used to me
Externí odkaz:
http://arxiv.org/abs/2405.04389
Our work examines $t$-structures in derived categories related to Noetherian schemes, establishing both classification and nonexistence results for compactly generated $t$-structures that satisfy a tensor compatibility condition. First, we classify w
Externí odkaz:
http://arxiv.org/abs/2404.08578
Autor:
Dey, Souvik, Lank, Pat
This work is concerned with a relationship regarding the closedness of the singular locus of a Noetherian scheme and existence of classical generators in its category of coherent sheaves, associated bounded derived category, and singularity category.
Externí odkaz:
http://arxiv.org/abs/2403.19564
Autor:
Dey, Souvik, Lank, Pat
This work exhibits that the essential image of the derived pushforward along a proper surjective morphism of Noetherian schemes generates the targets derived category of bounded complexes with coherent cohomology. There are two primary consequences t
Externí odkaz:
http://arxiv.org/abs/2401.13661
Autor:
Caffrey CR, Lank PM
Publikováno v:
Open Access Emergency Medicine, Vol Volume 10, Pp 9-23 (2017)
Charles R Caffrey, Patrick M Lank Department of Emergency Medicine, Feinberg School of Medicine, Northwestern University, Chicago, IL, USA Abstract: Patients can use numerous drugs that exist outside of existing regulatory statutes in order to get
Externí odkaz:
https://doaj.org/article/500d2eac618b4b8793e002adc5868f5f
This work demonstrates classical generation is preserved by the derived pushforward along the canonical morphism of a noncommutative scheme to its underlying scheme. There are intriguing examples illustrating this phenomenon, particularly from noncom
Externí odkaz:
http://arxiv.org/abs/2312.02840
Autor:
Lank, Pat
Publikováno v:
J. Pure Appl. Algebra (2024), 107671
This work establishes a condition that determines when strong generation in the bounded derived category of a Noetherian $J\textrm{-}2$ scheme is preserved by the derived pushforward of a proper morphism. Consequently, we can produce upper bounds on
Externí odkaz:
http://arxiv.org/abs/2308.08080
This article investigates strong generation within the module category of a commutative Noetherian ring. We establish a criterion for such rings to possess strong generators within their module category, addressing a question raised by Iyengar and Ta
Externí odkaz:
http://arxiv.org/abs/2307.13675
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 map on $X$ is finite, for any compact generator $G$ of $\mathsf{D}(X)$
Externí odkaz:
http://arxiv.org/abs/2303.18085