Results 81 to 90 of about 1,642,029 (305)
On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Mathematische Nachrichten, Volume 298, Issue 4, Page 1148-1166, April 2025.Abstract In this paper, we address a conjecture by Kleppe and Miró‐Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal.
Vladimiro Benedetti, Fabio Tanturri
wiley +1 more source
The homological spectrum via definable subcategories
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley +1 more source
On Flat Objects of Finitely Accessible Categories
The Scientific World Journal, 2013 Flat objects of a finitely accessible additive category are described in terms of some objects of the associated functor category of , called strongly flat functors.
Septimiu Crivei
doaj +1 more source
Webb's conjecture and generalised Harish‐Chandra theory
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1083-1092, April 2025.Abstract Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime ℓ$\ell$ is contractible. This conjecture was proved by Symonds in 1998. In this paper, we suggest a generalisation of Webb's conjecture for finite reductive groups.
Damiano Rossi
wiley +1 more source
A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source
An ordered framework for partial multivalued functors
, 2015 The category Rel of sets and relations intimately ties the notions of function, partial multivalued function, and direct image under a function through the description of Rel as the Kleisli category of the covariant power set functor on Set. We present a
Chand, Alveen, Weiss, Ittay
core +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
The hitchhiker guide to Categorical Banach space theory. Part II.
Extracta Mathematicae, 2021 What has category theory to offer to Banach spacers? In this second part survey-like paper we will focus on very much needed advanced categorical and homological elements, such as Kan extensions, derived category and derived functor or Abelian hearts of ...
Jesús Castillo
doaj
Coalgebraic Behavioral Metrics [PDF]
Logical Methods in Computer Science, 2018 We study different behavioral metrics, such as those arising from both branching and linear-time semantics, in a coalgebraic setting. Given a coalgebra $\alpha\colon X \to HX$ for a functor $H \colon \mathrm{Set}\to \mathrm{Set}$, we define a framework ...
Paolo Baldan +3 more
doaj +1 more source
co-Semi-analytic functors [PDF]
arXiv, 2013 We characterize the category of co-semi-analytic functors and describe an action of semi-analytic functors on co-semi-analytic functors.
arxiv