Gorenstein $\mathbb{Q}$-homology projective planes

Autor: Hwang, DongSeon, Keum, JongHae, Ohashi, Hisanori
Rok vydání: 2015
Předmět:
Zdroj: Science China Mathematics 58 (2015) 501-512
Druh dokumentu: Working Paper
DOI: 10.1007/s11425-015-4978-4
Popis: We present the complete list of all singularity types on Gorenstein $\mathbb{Q}$-homology projective planes, i.e., normal projective surfaces of second Betti number one with at worst rational double points. The list consists of $58$ possible singularity types, each except two types supported by an example.
Comment: Added in Proof. The type $A_3 \oplus 3A_2$ realizes on the Enriques surface constructed by Slawomir Rams and Matthias Sch\"utt [On Enriques surfaces with four cusps, arXiv:1404.3924, Example 3.9]
Databáze: arXiv