컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0479 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebraic geometry / Complex geometry (SS-04) |
| 영문제목 (Title(Eng.)) |
Geometry of the moduli space of stable sheaves supported on quartic curves in $\mathbb{P}^3$ |
| 저자(Author(s)) |
Kiryong Chung1 Korea Institute for Advanced Study1 |
| 초록본문(Abstract) | Let $\mathbf{M}(P(m))$ be the moduli space of stable sheaves in $\mathbb{P}^3$ with Hilbert polynomial $P(m)$. When $P(m)=4m+1$, stable sheaves can be supported only on quartic curves with genus $0,1,3$. Furthermore, these curve's types determine three irreducible components of the space $\mathbf{M}(4m+1)$ by the wall-crossing studied by Le Potier, Stoppa and Thomas. In this talk, we study the geometry of the intersection parts among these three components. This is a generalization of the work for the case $P(m)=3m+1$ done by Freiermuth and Trautmann. |
| 분류기호 (MSC number(s)) |
14F45 |
| 키워드(Keyword(s)) | stable sheaves, wall-crossings, quartic curves |
| 강연 형태 (Language of Session (Talk)) |
English |