Results 21 to 30 of about 315,258 (298)
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
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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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Explicit equations of the Cartwright-Steger surface [PDF]
Épijournal de Géométrie Algébrique, 2020 We construct explicit equations of Cartwright-Steger and related surfaces.
Lev A. Borisov, Sai-Kee Yeung
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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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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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