Results 51 to 60 of about 1,900,626 (355)
Geometrically rational real conic bundles and very transitive actions [PDF]
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
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
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]
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]
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]
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]
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]
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]
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]
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