Results 31 to 40 of about 3,771 (225)
Weyl groups and abelian varieties [PDF]
, 2006 Let G be a finite group. For each integral representation rho of G we consider rho-decomposable principally polarized abelian varieties; that is, principally polarized abelian varieties (X, H) with rho(G)-action, of dimension equal to the degree of rho ...
Rodriguez, Rubi E. +2 more
core +1 more source
Hodge-Deligne polynomials of character varieties of free abelian groups
Open Mathematics, 2021 Let FF be a finite group and XX be a complex quasi-projective FF-variety. For r∈Nr\in {\mathbb{N}}, we consider the mixed Hodge-Deligne polynomials of quotients Xr/F{X}^{r}\hspace{-0.15em}\text{/}\hspace{-0.08em}F, where FF acts diagonally, and compute ...
Florentino Carlos, Silva Jaime
doaj +1 more source
Splitting of abelian varieties
Advances in Mathematics of Communications, 2014 It is possible that a simple (or absolutely simple) Abelian variety defined over a number field splits modulo every prime of good reduction. This is a new problem that arises in designing crypto systems using Abelian varieties of dimension larger than $1$. We discuss what is behind this phenomenon.
V. Kumar Murty, Ying Zong
openaire +1 more source
Canonical integral models for Shimura varieties of abelian type
Forum of Mathematics, SigmaWe prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical.
Patrick Daniels, Alexander Youcis
doaj +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.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
Hopf and Lie algebras in semi-additive Varieties [PDF]
Logical Methods in Computer Science, 2017 We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor.
Hans-E. Porst
doaj +1 more source
Inventiones Mathematicae, 1981 Let (X0,2 o) be a polarized abelian variety over a field of characteristic p, p + 0; let R be a domain of characteristic zero. We say (X 0, 20) lifts to R provided there is a polarized abelian scheme, (X, 2), over R and a k-valued point of Spec R such that the fiber of(X, 2) over this point is (Xo, 20).
openaire +2 more sources
The Two Extremal Rays of Some Hyper–Kähler Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley +1 more source
A sharp Bogomolov-type bound [PDF]
, 2012 We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau.
Checcoli, Sara +2 more
core
Arithmetic on abelian and Kummer varieties
Finite Fields and Their Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lubicz, David, Robert, Damien
openaire +5 more sources