컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0207 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-04) Vector Bundles on Algebraic Varieties (SS-04) |
| 영문제목 (Title(Eng.)) |
Hilbert schemes of curves and vector bundles |
| 저자(Author(s)) |
Flaminio Flamini1 Universita di Roma "Tor Vergata"1 |
| 초록본문(Abstract) | In this talk I will report on joint recent results (together with P. Supino) concerning the existence of suitable irreducible components of Hilbert schemes parametrizing smooth, irreducible curves of suitable degree and genus,which are linearly normal in projective spaces. The components we construct turn-out to have dimension higher than expected (superabundant components) and to be generically smooth. The construction of such components deals with rank-two vector bundles on curves with general moduli and related parameter spaces and it extends some previous results of Youngook Choi, Hristo Iliev and Seonja Kim (the first and the third authors being "hystorical" scientific collaborators of mine). If time permits, I will also discuss possible generalization of the construction as well as related open questions. |
| 분류기호 (MSC number(s)) |
14H10 |
| 키워드(Keyword(s)) | Hilbert scheme, curve, rank-two-vector bundles |
| 강연 형태 (Language of Session (Talk)) |
English |