Results 51 to 60 of about 315,258 (298)

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

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

Épijournal 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

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

Double spinor Calabi-Yau varieties [PDF]

Épijournal de Géométrie Algébrique, 2019
Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety is a smooth Calabi-Yau fivefold, as well as the intersection Y of their ...
Laurent Manivel
doaj   +1 more source

Algebraic Integral Geometry [PDF]

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

Chern classes of automorphic vector bundles, II [PDF]

Épijournal de Géométrie Algébrique, 2019
We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
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

Algebraic geometry over Lie algebras [PDF]

, 2007
This is a survey paper on Alegbraic Geometry over Lie ...
openaire   +2 more sources