Results 21 to 30 of about 1,944,105 (329)
Stably semiorthogonally indecomposable varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 A triangulated category is said to be indecomposable if it admits no nontrivial semiorthogonal decompositions. We introduce a definition of a noncommutatively stably semiorthogonally indecomposable (NSSI) variety. This propery implies, among other things,
Dmitrii Pirozhkov
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The construction problem for Hodge numbers modulo an integer in positive characteristic
Forum of Mathematics, Sigma, 2020 Let k be an algebraically closed field of positive characteristic. For any integer $m\ge 2$ , we show that the Hodge numbers of a smooth projective k-variety can take on any combination of values modulo m, subject only to Serre duality.
Remy van Dobben de Bruyn +1 more
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Formalization and Implementation of Algebraic Methods in Geometry [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We describe our ongoing project of formalization of algebraic methods for geometry theorem proving (Wu's method and the Groebner bases method), their implementation and integration in educational tools.
Filip Marić +3 more
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Factorization of the Abel-Jacobi maps [PDF]
Épijournal de Géométrie Algébrique, 2021 As an application of the theory of Lawson homology and morphic cohomology, Walker proved that the Abel-Jacobi map factors through another regular homomorphism. In this note, we give a direct proof of the theorem.
Fumiaki Suzuki
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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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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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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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Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves [PDF]
Épijournal de Géométrie Algébrique, 2018 In these notes we reformulate the classical Hilbert-Mumford criterion for GIT stability in terms of algebraic stacks, this was independently done by Halpern-Leinster.
Jochen Heinloth
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Algebraic Geometry Tools in Systems Biology
, 2020 Many models in the sciences and engineering are expressed as solution sets to systems of polynomial equations, that is, as affine algebraic varieties. This is a basic notion in algebraic geometry, a vibrant area of mathematics which is particularly good ...
A. Dickenstein
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Algebraic singularities of scattering amplitudes from tropical geometry [PDF]
Journal of High Energy Physics, 2019 We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
James R. Drummond +3 more
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