Results 41 to 50 of about 666 (191)
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators
We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D. +2 more
doaj +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Endomorphism algebras of exceptional sequences over path algebras of type $\widetilde{\sym A}_{n}$ [PDF]
Let \(Q\) be a quiver of type \(\widetilde A_n\) which is not an oriented cycle and let \(A\) be the path algebra \(kQ\) of \(Q\) with the coefficients in a commutative field \(k\). The article is devoted to investigate the endomorphism algebras of modules of the form \(\bigoplus_{i=1}^rE_i\), where \((E_1,\ldots,E_r)\) is an exceptional sequence of ...
Assem, Ibrahim, Zhang, Yingbo
openaire +2 more sources
Tate modules as condensed modules
Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani +2 more
wiley +1 more source
Computing global dimension of endomorphism rings via ladders
This paper deals with computing the global dimension of endomorphism rings of maximal Cohen–Macaulay (=MCM) modules over commutative rings. Several examples are computed.
Faber, E, Ingalls, C, Doherty, B
core +1 more source
The singularity category and duality for complete intersection groups
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
On the cohomology of finite‐dimensional nilpotent groups and lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
Endomorphism Algebras of Jacobians
Very little is known about the existence of curves, and families of curves, whose Jacobians are acted on by large rings of endomorphisms. In this paper, we show the existence of curves X with an injection K↪Hom(Jac(X), Jac(X))⊗ZQ, where K is a subfield ...
Ellenberg, Jordan S.
core +1 more source
Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
core +1 more source

