Results 41 to 50 of about 29,359 (208)
Cyclic homology via derived functors [PDF]
Homology, Homotopy and Applications, 2010 The aim of this paper is to show how cyclic homology (as well as periodic cyclic and negative cyclic homologies) of a (non-unital) associative algebra over a commutative ring containing the field \(\mathbb Q\), can be described, in certain cases, in terms of cotriple derived functors.
Donadze, Guram +2 more
openaire +2 more sources
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Limits in $ \mathcal{D} $-module categories: Completeness and derived geometric extensions
AIMS MathematicsThis work establishes the categorical completeness of the category $ \mathsf{Mod}(\mathcal{D}_{X}) $ of left $ \mathcal{D} $-modules on smooth complex algebraic varieties, resolving a fundamental structural question in algebraic analysis.
Huang-Rui Lei, Jian-Gang Tang
doaj +1 more source
Derived functors of the divided power functors [PDF]
Geometry & Topology, 2016 Some minor changes to the exposition.
Breen, Lawrence +2 more
openaire +4 more sources
The ∞$\infty$‐categorical reflection theorem and applications
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley +1 more source
Relations between derived Hochschild functors via twisting
, 2015 Let $k$ be a regular ring, and let $A,B$ be essentially finite type $k$-algebras. For any functor $F:{D}(A)\times\dots\times{D}(A)\to{D}(B)$ between their derived categories, we define its twist $F^{!}:{D}(A)\times\dots\times{D}(A)\to{D}(B)$ with respect
Shaul, Liran
core +1 more source
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley +1 more source
Flat Base Change Formulas for $(\mathfrak{g},K)$-modules over Noetherian rings
, 2020 The fucntor $I$ and its derived functor over the complex number field have been playing important roles in representation theory of real reductive Lie groups.
Hayashi, Takuma
core
Analytic vectors in continuous p-adic representations
, 2012 Given a compact p-adic Lie group G over a finite unramified extension L/Q_p let G_0 be the product over all Galois conjugates of G. We construct an exact and faithful functor from admissible G-Banach space representations to admissible locally L-analytic
Borel +10 more
core +2 more sources
The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.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 +4 more
wiley +1 more source