Gorenstein $\mathbb{Q}$-homology projective planes
Autor: | Hwang, DongSeon, Keum, JongHae, Ohashi, Hisanori |
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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 |
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