Event
01_1
| 제출번호(No.) | 0018 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra (AL) |
| 영문제목 (Title(Eng.)) |
A characterization of Inoue surfaces with $p_g=0$ and $K^2=7$ |
| 저자(Author(s)) |
Yifan Chen1, YongJoo Shin2 Beihang University1, KAIST2 |
| 초록본문(Abstract) | Let $S$ be a minimal complex surface of general type with $p_g=0$, $K^2=7$ and having an involution $\sigma$. In this talk, we show that, if the divisorial part of the fixed locus of $\sigma$ consists of two irreducible components $R_1$ and $R_2$, with $g(R_1)=3,\ R_1^2=0,\ g(R_2)=2$ and $R_2^2=-1$, then the Klein group $\mathbb{Z}_2\times \mathbb{Z}_2$ acts faithfully on $S$ and $S$ is indeed an Inoue surface. |
| 분류기호 (MSC number(s)) |
14J29 |
| 키워드(Keyword(s)) | Inoue surface, involution, of general type |
| 강연 형태 (Language of Session (Talk)) |
Korean |