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of 1 961
pro vyhledávání: '"14J28"'
We show that K3 surfaces in characteristic 2 can admit sets of $n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each $n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exception
Externí odkaz:
http://arxiv.org/abs/2410.14085
We study the relative cone conjecture for families of $K$-trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef cone conjectures hold for fibrations in projective IHS manifolds of the
Externí odkaz:
http://arxiv.org/abs/2410.11987
In this paper we determine which automorphisms of general smooth quartic surfaces $S\subset \mathbb{P}^3$ of Picard rank $2$ are restrictions of Cremona transformations of $\mathbb{P}^3$.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2410.08415
The aim of this note is to exhibit proper first Brill-Noether loci inside the moduli spaces $M_{Y,H}(2;c_1,c_2)$ of $H$-stable rank $2$ vector bundles with fixed Chern classes of a certain type on an Enriques surface $Y$ which is covered by a Jacobia
Externí odkaz:
http://arxiv.org/abs/2409.17837
We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus then on the properties of the subfamily of log-Enriques varieties that admit a qu
Externí odkaz:
http://arxiv.org/abs/2409.09160
Autor:
Gonzalez-Hernandez, Alvaro
We study the birational geometry of the Kummer surfaces associated to the Jacobian varieties of genus two curves, with a particular focus on fields of characteristic two. In order to do so, we explicitly compute a projective embedding of the Jacobian
Externí odkaz:
http://arxiv.org/abs/2409.04532
Autor:
Nagano, Atsuhira
We determine a simple expression of the Picard-Fuchs system for a family of Kummer surfaces for all principally polarized Abelian surfaces. It is given by a system of linear partial differential equations in three variables of rank five. Our results
Externí odkaz:
http://arxiv.org/abs/2408.14271
Autor:
Sato, Ken
In this paper, we give an explicit construction of higher Chow cycles of type $(2,1)$ on $K3$ surfaces obtained as quadruple coverings of the projective plane ramified along smooth quartics. The construction uses a pair of bitangents of the quartics.
Externí odkaz:
http://arxiv.org/abs/2408.09102
Autor:
Miura, Kei, Taki, Shingo
We prove that there exists a one-to-one correspondence between smooth quartic surfaces with an outer Galois point and K3 surfaces with a certain automorphism of order 4. Furthermore, we characterize quartic surfaces with two or more outer Galois poin
Externí odkaz:
http://arxiv.org/abs/2408.04137
Autor:
Piroddi, Benedetta
We study the symplectic action of the group (Z/2Z)^2 on a K3 surface X: we describe its action on H^2(X,Z) and the maps induced in cohomology by the rational quotient maps; we give a lattice-theoretic characterization of the resolution of singulariti
Externí odkaz:
http://arxiv.org/abs/2408.00643