Results 31 to 40 of about 310,925 (271)

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

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

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

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 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

Gromov-Witten and Welschinger invariants of del Pezzo varieties [PDF]

Épijournal de Géométrie Algébrique
In this paper, we establish formulas for computing genus-$0$ Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension three by comparing to that of dimension two.
Thi-Ngoc-Anh Nguyen
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

Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3 [PDF]

Épijournal de Géométrie Algébrique
It is well known that a non-singular real plane projective curve of degree five with five connected components is separating if and only if its ovals are in non-convex position.
Matilde Manzaroli
doaj   +1 more source

Noetherianity up to symmetry [PDF]

, 2013
These lecture notes for the 2013 CIME/CIRM summer school Combinatorial Algebraic Geometry deal with manifestly infinite-dimensional algebraic varieties with large symmetry groups.
Draisma, Jan
core   +4 more sources

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