搜索结果: 1-15 共查到“数学 K3 surfaces”相关记录18条 . 查询时间(0.109 秒)
Cyclic groups of automorphisms of complex K3 surfaces
Cyclic groups automorphisms complex K3 surfaces
2012/2/29
We determine all possible orders of automorphisms of complex K3 surfaces. A positive integer N is the order of an automorphism of a complex K3 surface if and only if \phi(N) \leq 20 and N is not 60, w...
On the existence of curves with $A_k$-singularities on $K3$-surfaces
versal deformations tacnodes Severi varieties K3 surfaces Ak-singularities
2011/9/19
Abstract: Let $(S,H)$ be a general primitively polarized $K3$ surface. We prove the existence of curves in $|\mathcal O_S(nH)|$ with $A_k$-singularities and corresponding to regular points of the equi...
A note on exceptional unimodal singularities and K3 surfaces
exceptional unimodal singularities K3 surfaces note Algebraic Geometry
2011/9/1
Abstract: This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compactificatio...
Finiteness of K3 surfaces and the Tate conjecture
K3 surfaces the Tate conjecture Algebraic Geometry Number Theory
2011/8/26
Abstract: Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely man...
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Moduli of K3 Surfaces Irreducible Symplectic Manifolds
2011/2/22
The name “K3 surfaces” was coined by A. Weil in 1957 when he formulated a research programme for these surfaces and their moduli.
We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps an...
Cusps of the Kähler moduli space and stability conditions on K3 surfaces
Cusps of the Kä hler moduli space stability conditions
2011/1/21
In [Ma09] S. Ma established a bijection between Fourier–Mukai partners of a K3 surface and cusps of the K¨ahler moduli space.The K¨ahler moduli space can be described as a quotient of Bridgeland’s sta...
K3 surfaces and log del Pezzo surfaces of index three
log del Pezzo surfaces non-symplectic automorphisms
2011/1/17
We use classification of non-symplectic automorphisms of K3 surfaces to obtain a partial classification of log del Pezzo surfaces of index three. We can classify those with ”Multiple Smooth Divisor Pr...
Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices
K3 surfaces period differential equations toric varieties
2011/1/17
In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed re-
flexive polytopes with at most terminal singularity. We determine the lattice structures, the period dif...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
Characterizing projective spaces deformations Hilbert schemes of K3 surfaces
2010/11/11
We seek to characterize homology classes of Lagrangian projective spaces embedded in irreducible holomorphic-symplectic manifolds, up to the action of the monodromy group. This paper addresses the ca...
The unirationality of the moduli spaces of 2-elementary K3 surfaces (with an Appendix by Ken-Ichi Yoshikawa)
the moduli spaces of 2-elementary K3 surfaces math
2010/11/15
We prove the unirationality of the moduli spaces of K3 surfaces with non-symplectic involutions. As a by-product, we describe the configuration space of 4 as an arit...
A period differential equation for a family of $K3$ surfaces and the Hilbert modular orbifold for the field $\mathbb{Q}(\sqrt{5})$
K3 surfaces Hilbert modular orbifolds period maps period di erential equations toric varieties
2010/12/14
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-ial divisor of a toric variety. We determine the period di erential equation and its monodromy group...
Classification of non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice
K3 surface non-symplectic automorphism
2010/12/10
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
On universal Severi varieties of low genus K3 surfaces
universal Severi varieties low genus K3 surfaces
2010/12/8
We prove the irreducibility of universal Severi varieties parametrizing irreducible, reduced, nodal hyperplane sections of primitive K3 surfaces of genus g, with 3 ≤ g ≤ 11, g 6= 10.