컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0327 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Algebraic Geometry (AL-3) |
| 영문제목 (Title(Eng.)) |
Green’s theorem and Gorenstein sequences |
| 저자(Author(s)) |
Jeaman Ahn1, Juan C. Migliore2, Yong-Su Shin3 Kongju National University1, University of Notre dame2, Sungshin Women’s University3 |
| 초록본문(Abstract) | We study consequences, for a standard graded algebra, of extremal behavior in Green’s Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve to the case of a hypersurface in a linear space. Second, assuming a certain Lefschetz condition, we give a connection to extremal behavior in Macaulay’s theorem. We apply these results to show that $(1, 19, 17, 19, 1)$ is not a Gorenstein sequence, and as a result we classify the sequences of the form $(1, a, a-2, a, 1)$ that are Gorenstein sequences. |
| 분류기호 (MSC number(s)) |
Primary:13D40; Secondary:13H10, 14C20 |
| 키워드(Keyword(s)) | Gorenstein sequence, Green’s theorem, Hilbert function, Lefschetz condition, Macaulay’s Theorem |
| 강연 형태 (Language of Session (Talk)) |
English |