Results 31 to 40 of about 63 (63)

Embedding of lattices and K3-covers of an enriques surface

Open Mathematics
In this study, we establish necessary conditions for the embeddings of lattices and apply these conditions to the problem of characterizing algebraic K3K3 surfaces that cover an Enriques surface.
Sonel Serkan
doaj   +1 more source

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on severi varieties on $K3$ surfaces

Forum of Mathematics, Sigma
Under the assumption that the adjusted Brill-Noether number $\widetilde {\rho }$ is at least $-g$ , we prove that the Brill-Noether loci in ${\mathcal M}_{g,n}$ of pointed curves carrying pencils with prescribed ramification at the ...
Andreas Leopold Knutsen, Sara Torelli
doaj   +1 more source

On families of K3 surfaces with real multiplication

Forum of Mathematics, Sigma
We exhibit large families of K3 surfaces with real multiplication, both abstractly, using lattice theory, the Torelli theorem and the surjectivity of the period map, as well as explicitly, using dihedral covers and isogenies.
Bert van Geemen, Matthias Schütt
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K-stability of Thaddeus’ moduli of stable bundle pairs on genus two curves

Forum of Mathematics, Sigma
The moduli space of bundle stable pairs $\overline {M}_C(2,\Lambda )$ on a smooth projective curve C, introduced by Thaddeus, is a smooth Fano variety of Picard rank two.
Junyan Zhao
doaj   +1 more source

Quasimaps to moduli spaces of sheaves on a $K3$ surface

Forum of Mathematics, Sigma
In this article, we study quasimaps to moduli spaces of sheaves on a $K3$ surface S. We construct a surjective cosection of the obstruction theory of moduli spaces of $\epsilon $ -stable quasimaps.
Denis Nesterov
doaj   +1 more source

対合付きK3曲面のモジュライの有理性

, 2012
K3 surfaces with non-symplectic involution are classified by open sets of seventy-five arithmetic quotients of type IV. We prove that sixty-seven of those moduli spaces are rational.2000 Mathematics Subject Classification. Primary 14J28, Secondary 14L30,
馬 昭平, Ma Shouhei
core  

Categorical Torelli theorems: results and open problems. [PDF]

Rend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Ordinary reduction of K3 surfaces

Open Mathematics, 2009
Bogomolov Fedor, Zarhin Yuri
doaj   +1 more source

Halphen pencils on weighted Fano threefold hypersurfaces

Open Mathematics, 2009
Cheltsov Ivan, Park Jihun
doaj   +1 more source

On the Brill-Noether theory for K3 surfaces

Open Mathematics, 2012
Leyenson Maxim
doaj   +1 more source