Results 41 to 50 of about 315,258 (298)
Serre-invariant stability conditions and Ulrich bundles on cubic threefolds [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove a general criterion which ensures that a fractional Calabi--Yau category of dimension $\leq 2$ admits a unique Serre-invariant stability condition, up to the action of the universal cover of $\text{GL}^+_2(\mathbb{R})$.
Soheyla Feyzbakhsh, Laura Pertusi
doaj +1 more source
Families of stable 3-folds in positive characteristic [PDF]
Épijournal de Géométrie Algébrique, 2023 We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.
János Kollár
doaj +1 more source
Cohomology operations and algebraic geometry [PDF]
, 2007 The manuscript is an overview of the motivations and foundations lying behind Voevodsky's ideas of constructing categories similar to the ordinary topological homotopy categories.
Borghesi, Simone
core +3 more sources
PRESENTATIONS OF AFFINE KAC–MOODY GROUPS
Forum of Mathematics, Sigma, 2018 How many generators and relations does $\text{SL}\,_{n}(\mathbb{F}_{q}[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. We investigate presentations of affine Kac–Moody groups over finite fields.
INNA CAPDEBOSCQ +2 more
doaj +1 more source
On a theorem of Campana and P\u{a}un [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a smooth projective variety over the complex numbers, and $\Delta \subseteq X$ a reduced divisor with normal crossings. We present a slightly simplified proof for the following theorem of Campana and P\u{a}un: If some tensor power of the ...
Christian Schnell
doaj +1 more source
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
doaj +1 more source
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
Épijournal de Géométrie Algébrique, 2018 We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
doaj +1 more source
Spherical subcategories in algebraic geometry [PDF]
, 2016 We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical.
Hochenegger, Andreas +2 more
core +2 more sources
Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]
Épijournal de Géométrie AlgébriqueTerminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini +3 more
doaj +1 more source
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