Results 41 to 50 of about 1,944,105 (329)

Families of stable 3-folds in positive characteristic [PDF]

Épijournal de Géométrie Algébrique, 2023
We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.
János Kollár
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

On a theorem of Campana and P\u{a}un [PDF]

Épijournal de Géométrie Algébrique, 2017
Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Christian Schnell
doaj   +1 more source

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

Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]

Épijournal de Géométrie Algébrique, 2018
We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
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

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

On the group of zero-cycles of holomorphic symplectic varieties [PDF]

Épijournal de Géométrie Algébrique, 2020
For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface.
Alina Marian, Xiaolei Zhao
doaj   +1 more source

Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]

Épijournal de Géométrie Algébrique, 2020
We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces ...
Lothar Göttsche
doaj   +1 more source

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II [PDF]

, 2015
In this paper we continue to study Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry. Our main focus is on the algebro-geometric meaning of Riemannian tangent cones and rescaled limits.
S. Donaldson, Song Sun
semanticscholar   +1 more source