Zobrazeno 1 - 10
of 11 394
pro vyhledávání: '"K3 SURFACES"'
We take a first step towards the classification of singular Mori dream $K3$ surfaces. We prove that if the Picard lattice of a singular $K3$ surface is Mori dream, then the surface is Mori dream. Moreover, we show that for singular $K3$ surfaces, of
Externí odkaz:
http://arxiv.org/abs/2412.17036
Autor:
Trieu, Thu Ha
We relate the Mahler measure of exact polynomials in arbitrary variables to the Deligne cohomology of the Maillot variety using the Goncharov polylogarithmic complexes. In the four-variable case, we further study the relationship between the Mahler m
Externí odkaz:
http://arxiv.org/abs/2412.00893
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 marked points have a c
Externí odkaz:
http://arxiv.org/abs/2411.14562
Autor:
Lee, Kwangwoo
Using the properties of generalized Fibonacci numbers, we determine the automorphism groups of some K3 surfaces with Picard number 2. Conversely, using the automorphisms of K3 surfaces with Picard number 2, we prove the criterion for a given integer
Externí odkaz:
http://arxiv.org/abs/2411.13038
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group $(\mathbb{Z}/2\mathbb{Z})^2$ and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacob
Externí odkaz:
http://arxiv.org/abs/2411.05970
We describe Baily-Borel, toroidal, and geometric -- using the KSBA stable pairs -- compactifications of some moduli spaces of K3 surfaces with a nonsymplectic automorphism of order $3$ and $4$ for which the fixed locus of the automorphism contains a
Externí odkaz:
http://arxiv.org/abs/2412.11256
Autor:
Bhatnagar, Tejasi
The purpose of this paper is to prove a local p-adic monodromy theorem for ordinary abelian surfaces and K3 surfaces with bad reduction in characteristic p. As an application, we get a finiteness result for the reduction of their Hecke orbits in the
Externí odkaz:
http://arxiv.org/abs/2411.16865