컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0176 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-05) Several Complex Variables and Related Topics (SS-05) |
| 발표시간(Time) | 20th-D-13:50 -- 14:10 |
| 영문제목 (Title(Eng.)) |
Equidistribution of inverse images of analytic subsets for holomorphic endomorphisms of compact K\"ahler manifolds |
| 저자(Author(s)) |
Taeyong Ahn1 Inha University1 |
| 초록본문(Abstract) | In this talk, we discuss the limit of inverse images of analytic subsets under a given holomorphic endomorphism of a compact K\"ahler manifold. We expect that the limit should be inside the Julia set of the given map in a reasonable sense under reasonable conditions. We will study a sufficient condition with emphasis on the difference between the complex projective space and a general compact K\"ahler manifold. In particular, we introduce the regularization of a positive closed currents with quantitative estimates and some estimates related to semi-regular transforms of currents, which are closely related to superpotentials. |
| 분류기호 (MSC number(s)) |
37F10, 32U40, 32U05 |
| 키워드(Keyword(s)) | Green currents, equidistribution, superpotential, regularization |
| 강연 형태 (Language of Session (Talk)) |
English |