Results 41 to 50 of about 25,572 (317)

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

Troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique sur un corps de fonctions d'une variable [PDF]

Épijournal de Géométrie Algébrique, 2018
En combinant une m\'ethode de C. Voisin avec la descente galoisienne sur le groupe de Chow en codimension $2$, nous montrons que le troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique lisse d\'efini sur le corps des fonctions d'une ...
Jean-Louis Colliot-Thélène, Alena Pirutka   +1 more
doaj   +1 more source

Heights and multiplicative relations on algebraic varieties [PDF]

, 2007
Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
core   +1 more source

On the rationality problem for low degree hypersurfaces

Forum of Mathematics, Pi
We show that a very general hypersurface of degree $d \geq 4$ and dimension $N \leq (d+1)2^{d-4}$ over a field of characteristic $\neq 2$ does not admit a decomposition of the diagonal; hence, it is neither stably nor retract ...
Jan Lange, Stefan Schreieder
doaj   +1 more source

Entangled Subspaces through Algebraic Geometry [PDF]

Quantum
We propose an algebraic geometry-inspired approach for constructing entangled subspaces within the Hilbert space of a multipartite quantum system.
Masoud Gharahi, Stefano Mancini
doaj   +1 more source

Quadratic forms and linear algebraic groups [PDF]

, 2009
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David, Hartmann, Julia, Krashen, Daniel, Favi, Giordano   +3 more
core   +1 more source

Numerical algebraic geometry and algebraic kinematics [PDF]

Acta Numerica, 2011
In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism spaces) are introduced. This provides a common schema for many kinds of problems that are of interest in kinematic studies. Once the problems are cast in this algebraic framework, they can be attacked by tools from algebraic geometry.
Charles W. Wampler, Andrew J. Sommese
openaire   +2 more sources

The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]

, 2010
We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
core   +1 more source