Results 21 to 30 of about 309,815 (270)
On the group of zero-cycles of holomorphic symplectic varieties [PDF]
Épijournal 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
Smoothability of relative stable maps to stacky curves [PDF]
Épijournal de Géométrie Algébrique, 2023 Using log geometry, we study smoothability of genus zero twisted stable maps to stacky curves relative to a collection of marked points. One application is to smoothing semi-log canonical fibered surfaces with marked singular fibers.
Kenneth Ascher, Dori Bejleri
doaj +1 more source
Hypercomplex Algebraic Geometry [PDF]
The Quarterly Journal of Mathematics, 1998 Let \({\mathbb H}=\{ r_0 + r_1i_1 + r_2i_2 + r_3i_3 \mid r_j\in{\mathbb R} \}\) be the skew field of quaternions which satisfy the following relations \[ \begin{aligned} i_1 i_2 &= -i_2 i_1=i_3,\qquad i_2 i_3=-i_3 i_2=i_1,\\ i_3 i_1 &= -i_1 i_3=i_2,\qquad i_1^2=i_2^2=i_3^2=-1.\end{aligned} \] Let \(U\subset{\mathbb H}^n\) be an open domain and \(f:U\to{
openaire +4 more sources
Limits of the trivial bundle on a curve [PDF]
Épijournal de Géométrie Algébrique, 2018 We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are ...
Arnaud Beauville
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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
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On the motive of O'Grady's six dimensional hyper-K\"{a}hler varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove that the rational Chow motive of a six dimensional hyper-K\"{a}hler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves on an abelian surface $A$ belongs to the tensor category of motives ...
Salvatore Floccari
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Geometrically rational real conic bundles and very transitive actions [PDF]
, 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 +8 more sources
Information Decomposition and Synergy
Entropy, 2015 Recently, a series of papers addressed the problem of decomposing the information of two random variables into shared information, unique information and synergistic information.
Eckehard Olbrich +2 more
doaj +1 more source
Abundance for slc surfaces over arbitrary fields [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove the abundance conjecture for projective slc surfaces over arbitrary fields of positive characteristic. The proof relies on abundance for lc surfaces over abritrary fields, proved by Tanaka, and on the technique of Hacon and Xu to descend semi ...
Quentin Posva
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Good Codes From Generalised Algebraic Geometry Codes [PDF]
, 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