컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0171 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (AL) Algebra (AL) |
| 발표시간(Time) | 20th-D-13:00 -- 13:20 |
| 영문제목 (Title(Eng.)) |
The Tate-Oort group scheme $\mathbb {TO}_p$ and Godeaux surfaces |
| 저자(Author(s)) |
Soonyoung Kim1, Miles Reid2 Sogang University1, Warwick University2 |
| 초록본문(Abstract) | Over an algebraically closed field of characteristic $p$, there are $3$ group schemes $Z_p$, $\mu_p$ and $\alpha_p$. The Tate-Oort group scheme $\mathbb {TO}_p$ puts these together in one family. We study some constructions related to $\mathbb {TO}_p$ and apply it to give a uniform construction of the Godeaux surfaces with $Pic^\tau$ of order less than equal to $5$. This is joint work in progress with Miles Reid. |
| 분류기호 (MSC number(s)) |
14J70 |
| 키워드(Keyword(s)) | Godeaux surface, Tate-Oort Group scheme, general type surfaces, positive characteristic |
| 강연 형태 (Language of Session (Talk)) |
Korean |