컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0464 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Topology (SS-07) |
| 영문제목 (Title(Eng.)) |
Wedge operations and torus symmetries |
| 저자(Author(s)) |
Suyoung Choi1, Hanchul Park1 Ajou University1 |
| 초록본문(Abstract) | A fundamental result of toric geometry is that there is a bijection between toric varieties and fans. More generally, it is known that some class of manifolds having well-behaved torus actions can be classified in terms of combinatorial data containing simplicial complexes. In this talk, we discuss the relationship between the toric objects over a simplicial complex and the complex obtained by simplicial wedge operation from the one. As an immediate corollary, we classify all real toric varieties with a few generators. Furthermore, we give simpler and complete proofs of classification and projectiveness of complex toric varieties with a few generators. |
| 분류기호 (MSC number(s)) |
14M25, 52B20, 52B35, 55M99 |
| 키워드(Keyword(s)) | toric variety, torus manifold, real toric variety, small cover, simplicial complex, simplicial wedge |
| 강연 형태 (Language of Session (Talk)) |
English |