Results 21 to 30 of about 1,900,626 (355)

Complex reflection groups and K3 surfaces I [PDF]

Épijournal de Géométrie Algébrique, 2021
We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total 15 families with at worst $ADE$--singularities. In particular we classify
Cédric Bonnafé, Alessandra Sarti
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On Bloch’s map for torsion cycles over non-closed fields

Forum of Mathematics, Sigma, 2023
We generalize Bloch’s map on torsion cycles from algebraically closed fields to arbitrary fields. While Bloch’s map over algebraically closed fields is injective for zero-cycles and for cycles of codimension at most two, we show that the generalization ...
Theodosis Alexandrou, Stefan Schreieder
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Algebraic Geometry

Wiley Encyclopedia of Computer Science and Engineering, 2022
We compute the fundamental group of an algebraic link. To cite this article: O. Neto, P.C. Silva, C. R. Acad. Sci. Paris, Ser. I 340 (2005).  2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
David A. Cox
semanticscholar   +1 more source

Poincaré and algebraic geometry [PDF]

Bulletin of the American Mathematical Society, 1982
Phillip Griffiths
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Conic bundle structures on Q-Fano threefolds

Electronic Research Archive, 2022
We obtain a sufficient condition for a Fano threefold with terminal singularities to have a conic bundle structure.
Yuri Prokhorov
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Exceptional collections on certain Hassett spaces [PDF]

Épijournal de Géométrie Algébrique, 2021
We construct an $S_2\times S_n$ invariant full exceptional collection on Hassett spaces of weighted stable rational curves with $n+2$ markings and weights $(\frac{1}{2}+\eta, \frac{1}{2}+\eta,\epsilon,\ldots,\epsilon)$, for ...
Ana-Maria Castravet, Jenia Tevelev
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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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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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