Results 21 to 30 of about 7,186 (267)
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
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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
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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
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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
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An atlas of K3 surfaces with finite automorphism group [PDF]
Épijournal de Géométrie Algébrique, 2022 We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space.
Xavier Roulleau
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How to glue derived categories
Bulletin of Mathematical Sciences, 2018 We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it can be applied to the problem of gluing triangulated categories.
D. Kaledin
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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 +1 more
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On equations of fake projective planes with automorphism group of order $21$ [PDF]
Épijournal de Géométrie Algébrique, 2023 We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of two new pairs of fake projective plane with $21$ automorphisms, thus finishing the task of finding explicit equations of fake projective planes with this
Lev Borisov
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An application of algebraic geometry in optimization
آموزش مهندسی ایران, 2019 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
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Examples of surfaces with canonical map of degree 4 [PDF]
Épijournal de Géométrie Algébrique, 2022 We give two examples of surfaces with canonical map of degree 4 onto a canonical surface.
Carlos Rito
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