컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0497 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebraic geometry / Complex geometry (SS-04) |
| 영문제목 (Title(Eng.)) |
On projectivity of toric varieties |
| 저자(Author(s)) |
Suyoung Choi1, Hanchul Park1 Ajou University1 |
| 초록본문(Abstract) | A classical result of toric geometry is that every complete non-singular toric variety of Picard number at most 3 is projective. The original proof of Kleinschmidt-Sturmfels (1989) was a long and cumbersome case-by-case research. In this talk, we give a much shorter and simpler proof by investigating simplicial wedges and Gale diagrams. We remark that our result can be extended to some singular toric varieties, making it strictly stronger than that of Kleinschmidt-Sturmfels. This work is jointly done with Professor Suyoung Choi of Ajou University. |
| 분류기호 (MSC number(s)) |
14M25, 52B20, 52B35 |
| 키워드(Keyword(s)) | projective toric variety, Gale diagram, simplicial wedge |
| 강연 형태 (Language of Session (Talk)) |
English |