Results 81 to 90 of about 90,057 (293)

Explicit constructions of short virtual resolutions of truncations

Bulletin of the London Mathematical Society, EarlyView.
Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley   +1 more source

Brown representability for space-valued functors

, 2011
In this paper we prove two theorems which resemble the classical cohomological and homological Brown representability theorems. The main difference is that our results classify small contravariant functors from spaces to spaces up to weak equivalence of ...
A. Heller, A. K. Bousfield, B. Chorny, B. Chorny, B. Chorny, Boris Chorny, C. Casacuberta, C. Casacuberta, E. Dror Farjoun, E. Dror Farjoun, E. Dror Farjoun, E. H. Brown Jr., G. Maxwell, G. W. Whitehead, J. Adámek, J. F. Adams, J. F. Jardine, M. Hovey, P. S. Hirschhorn, T. G. Goodwillie   +19 more
core   +1 more source

Geometric constant term functor(s) [PDF]

, 2013
We study the Eisenstein series and constant term functors in the framework of geometric theory of automorphic functions. Our main result says that for a parabolic $$P\subset G$$P⊂G with Levi quotient M, the !-constant term functor $$\begin{aligned}{\text
V. Drinfeld, D. Gaitsgory
semanticscholar   +1 more source

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, EarlyView.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

A Data Set of Synthetic Utterances for Computational Personality Analysis

Scientific Data
The computational analysis of human personality has mainly focused on the Big Five personality theory, and the psychodynamic approach is almost nonexistent despite its rich theoretical grounding and relevance to various tasks. Here, we provide a data set
Yair Neuman, Yochai Cohen
doaj   +1 more source

A Category Theoretic Interpretation of Gandy's Principles for Mechanisms [PDF]

Electronic Proceedings in Theoretical Computer Science, 2019
Based on Gandy's principles for models of computation we give category-theoretic axioms describing locally deterministic updates to finite objects. Rather than fixing a particular category of states, we describe what properties such a category should ...
Joseph Razavi, Andrea Schalk
doaj   +1 more source

The −+ and −+ constructions for biset functors [PDF]

Journal of Algebra, 2019
In this article we define the $-_+$-construction and the $-^+$-construction, that was crucial in the theory of canonical induction formulas (see \cite{Boltje1998b}), in the setting of biset functors, thus providing the necessary framework to define and construct canonical induction formulas for representation rings that are most naturally viewed as ...
Boltje, Robert, Raggi-Cárdenas, Gerardo, Valero-Elizondo, Luis   +2 more
openaire   +4 more sources

Enriched functor categories for functor calculus

Topology and its Applications, 2022
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable for doing functor calculus.
Bandklayder, L., Bergner, J., Griffiths, R., Johnson, B., Santhanam, R.   +4 more
openaire   +3 more sources

The log Grothendieck ring of varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel   +4 more
wiley   +1 more source

The Greenberg functor revisited [PDF]

, 2013
We extend Greenberg’s original construction to arbitrary schemes over (certain types of) local artinian rings. We then establish a number of properties of the extended functor and determine, for example, its behavior under Weil restriction.
A. Bertapelle, Cristian D. González-Avilés   +1 more
semanticscholar   +1 more source