컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0147 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-05) Several Complex Variables and Related Topics (SS-05) |
| 발표시간(Time) | 20th-C-10:00 -- 10:20 |
| 영문제목 (Title(Eng.)) |
Legendre transformation related to toric plurisubharmonic functions and its application |
| 저자(Author(s)) |
Hoseob Seo1, Jongbong An2 IBS1, Seoul National University2 |
| 초록본문(Abstract) | For arbitrary toric plurisubharmonic functions, we will present a criterion for admitting a decreasing equisingular approximation with analytic singularities. Our results are motivated by a recent result of Guan for toric plurisubharmonic functions of the diagonal type. In this study, the Legendre transformation of a toric plurisubharmonic function plays a central role. Recently, the significance of Legendre transformations on complex geometry and algebraic geometry has been raised. We will review the notion of Legendre transformations and introduce their application to find equisingular approximations. |
| 분류기호 (MSC number(s)) |
14F18, 52A27 |
| 키워드(Keyword(s)) | Plurisubharmonic functions, equisingular approximation, multiplier ideal sheaves |
| 강연 형태 (Language of Session (Talk)) |
Korean |