Zobrazeno 1 - 10
of 3 225
pro vyhledávání: '"Surfaces of general type"'
Autor:
Bin, Nguyen, Lorenzo, Vicente
Examples of algebraic surfaces of general type with maximal Picard number are not abundant in the literature. Moreover, most known examples either possess low invariants, lie near the Noether line $K^2=2\chi-6$ or are somewhat scattered. A notable ex
Externí odkaz:
http://arxiv.org/abs/2411.11881
Autor:
Cai, Jin-Xing, Liu, Wenfei
Let $S$ be a regular minimal surface of general type over the field of complex numbers, and $\mathrm{Aut}_\mathbb{Q}(S)$ the subgroup of automorphisms acting trivially on $H^*(S,\mathbb{Q})$. It has been known since twenty years that $|\mathrm{Aut}_\
Externí odkaz:
http://arxiv.org/abs/2412.16501
Autor:
Bin, Nguyen, Lorenzo, Vicente
The first published non-trivial examples of algebraic surfaces of general type with maximal Picard number are due to Persson, who constructed surfaces with maximal Picard number on the Noether line $K^2=2\chi-6$ for every admissible pair $(K^2,\chi)$
Externí odkaz:
http://arxiv.org/abs/2306.15241
We classify minimal surfaces $S$ with $p_g=q=2$ and $K_S^2=5$ or $6$.
Comment: Some references added and a minor mistake in Proposition 7.1 is corrected
Comment: Some references added and a minor mistake in Proposition 7.1 is corrected
Externí odkaz:
http://arxiv.org/abs/2309.05097
We give first an easy construction of surfaces with $p_g=q=2, K^2=5$ and Albanese map of degree $3$, describing an irreducible connected component of the moduli space of surfaces of general type, which we show to be the only one of the Main Stream wi
Externí odkaz:
http://arxiv.org/abs/2212.14872
Autor:
Zhao, Hang
Let $(S,D)$ be a minimal log pair of general type with $S$ a smooth projective surface and $D$ a simple normal corssing reduced divisor on $S$. We assume that its log canonial linear system $|K_S+D|$ is composed of a penciel, let $f\colon S\to B$ be
Externí odkaz:
http://arxiv.org/abs/2302.09619
Autor:
Polizzi, Francesco, Roulleau, Xavier
Let $X$ be a compact, complex surface of general type whose cotangent bundle $\Omega_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $\psi_n \colon \mathbb{P}(\Omega_X) \to \mathbb{P}(H^0(X, \, S^n \Omega_X))
Externí odkaz:
http://arxiv.org/abs/2212.02412
Autor:
Keum, JongHae, Lee, Kyoung-Seog
In this paper, we suggest a new approach to study minimal surfaces of general type with $p_g=0$ via their Cox rings, especially using the notion of combinatorially minimal Mori dream space introduced by Hausen. First, we study general properties of c
Externí odkaz:
http://arxiv.org/abs/2206.02913
Autor:
Jiang, Yunfeng
We suggest a construction of obstruction theory on the moduli stack of index one covers over semi-log-canonical surfaces of general type. Comparing with the index one covering Deligne-Mumford stack of a semi-log-canonical surface, we define the $\lci
Externí odkaz:
http://arxiv.org/abs/2206.00575
Autor:
Basu, Suratno, Pal, Sarbeswar
Publikováno v:
In Journal of Algebra 15 February 2024 640:59-73
