Results 51 to 60 of about 1,900,626 (355)

Geometrically rational real conic bundles and very transitive actions [PDF]

open access: yes, 2009
In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups.
Biswas   +8 more
core   +7 more sources

PRESENTATIONS OF AFFINE KAC–MOODY GROUPS

open access: yesForum 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   +2 more
doaj   +1 more source

An application of algebraic geometry in optimization

open access: yesآموزش 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]

open access: yesÉpijournal 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

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

open access: yesÉpijournal 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

Algebraic Geometry Approach to the Bethe Equation for Hofstadter Type Models [PDF]

open access: yes, 2002
We study the diagonalization problem of certain Hofstadter-type models through the algebraic Bethe ansatz equation by the algebraic geometry method. When the spectral variables lie on a rational curve, we obtain the complete and explicit solutions for ...
Azbel M Ya   +22 more
core   +1 more source

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

open access: yesÉpijournal 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]

open access: yes, 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

Good Codes From Generalised Algebraic Geometry Codes [PDF]

open access: yes, 2010
Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used.
Ahmed, Mohammed Zaki   +3 more
core   +3 more sources

Hypercomplex Algebraic Geometry [PDF]

open access: yesThe Quarterly Journal of Mathematics, 1998
It is well-known that sums and products of holomorphic functions are holomorphic, and the holomorphic functions on a complex manifold form a commutative algebra over C . The study of complex manifolds using algebras of holomorphic functions upon them is called complex algebraic geometry.
openaire   +4 more sources

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