Results 31 to 40 of about 309,815 (270)

Stably semiorthogonally indecomposable varieties [PDF]

Épijournal de Géométrie Algébrique, 2023
A triangulated category is said to be indecomposable if it admits no nontrivial semiorthogonal decompositions. We introduce a definition of a noncommutatively stably semiorthogonally indecomposable (NSSI) variety. This propery implies, among other things,
Dmitrii Pirozhkov
doaj   +1 more source

PRESENTATIONS OF AFFINE KAC–MOODY GROUPS

Forum of Mathematics, Sigma, 2018
How many generators and relations does $\text{SL}\,_{n}(\mathbb{F}_{q}[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. We investigate presentations of affine Kac–Moody groups over finite fields.
INNA CAPDEBOSCQ, KARINA KIRKINA, DMITRIY RUMYNIN   +2 more
doaj   +1 more source

Double spinor Calabi-Yau varieties [PDF]

Épijournal de Géométrie Algébrique, 2019
Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety is a smooth Calabi-Yau fivefold, as well as the intersection Y of their ...
Laurent Manivel
doaj   +1 more source

Cohomology operations and algebraic geometry [PDF]

, 2007
The manuscript is an overview of the motivations and foundations lying behind Voevodsky's ideas of constructing categories similar to the ordinary topological homotopy categories.
Borghesi, Simone
core   +3 more sources

An application of algebraic geometry in optimization

آموزش مهندسی ایران, 2019
Algebraic geometry is one of the dynamic branches of pure mathematics, which has received a large part of the current research of mathematical experts in the world. In this branch of science, geometric issues are expressed in algebraic language. With the
Dawood Hassanzadeh Lelekaami
doaj   +1 more source

Chern classes of automorphic vector bundles, II [PDF]

Épijournal de Géométrie Algébrique, 2019
We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
doaj   +1 more source

Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]

Épijournal de Géométrie Algébrique
Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon   +3 more
doaj   +1 more source

Hyperelliptic classes are rigid and extremal in genus two [PDF]

Épijournal de Géométrie Algébrique, 2020
We show that the class of the locus of hyperelliptic curves with $\ell$ marked Weierstrass points, $m$ marked conjugate pairs of points, and $n$ free marked points is rigid and extremal in the cone of effective codimension-($\ell + m$) classes on ...
Vance Blankers
doaj   +1 more source

Troisi\`eme groupe de cohomologie non ramifi\'ee des torseurs universels sur les surfaces rationnelles [PDF]

Épijournal de Géométrie Algébrique, 2018
Let $k$ a field of characteristic zero. Let $X$ be a smooth, projective, geometrically rational $k$-surface. Let $\mathcal{T}$ be a universal torsor over $X$ with a $k$-point et $\mathcal{T}^c$ a smooth compactification of $\mathcal{T}$. There is an open
Yang Cao
doaj   +1 more source

Opers of higher types, Quot-schemes and Frobenius instability loci [PDF]

Épijournal de Géométrie Algébrique, 2020
In this paper we continue our study of the Frobenius instability locus in the coarse moduli space of semi-stable vector bundles of rank $r$ and degree $0$ over a smooth projective curve defined over an algebraically closed field of characteristic $p>0 ...
Kirti Joshi, Christian Pauly
doaj   +1 more source