Results 41 to 50 of about 309,815 (270)

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

Spherical subcategories in algebraic geometry [PDF]

, 2016
We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical.
Hochenegger, Andreas, Kalck, Martin, Ploog, David   +2 more
core   +2 more sources

Software Engineering and Complexity in Effective Algebraic Geometry [PDF]

, 2012
We introduce the notion of a robust parameterized arithmetic circuit for the evaluation of algebraic families of multivariate polynomials. Based on this notion, we present a computation model, adapted to Scientific Computing, which captures all known ...
Heintz, Joos, Kuijpers, Bart, Paredes, Andres Rojas   +2 more
core   +2 more sources

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

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

Algebraic Integral Geometry [PDF]

, 2011
A survey on recent developments in (algebraic) integral geometry is given. The main focus lies on algebraic structures on the space of translation invariant valuations and applications in integral geometry.
openaire   +2 more sources

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

Algebraic Integral Geometry [PDF]

, 2014
61 pages, newly revised in June 2012.
openaire   +2 more sources

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

The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities [PDF]

Épijournal de Géométrie Algébrique
We extend results of Looijenga--Lunts and Verbitsky and show that the total Lie algebra $\mathfrak g$ for the intersection cohomology of a primitive symplectic variety $X$ with isolated singularities is isomorphic to $$\mathfrak g \cong \mathfrak{so ...
Benjamin Tighe
doaj   +1 more source