| Title | Stability computation via Gr\"obner basis. |
| Author(s) | Brenden Hassett, Donghoon Hyeon, Yongnam Lee |
| Type | Article in Journal |
| Abstract | In this article, we discuss a Grobner basis algorithm related to the stability of algebraic varieties in the sense of Geometric Invariant Theory. We implement the algorithm with Macaulay 2 and use it to prove the stability of certain curves that play an important role in the log minimal model program for the moduli space of curves. |
| Keywords | geometric invariant theory;Grobner basis;moduli of curves; |
| ISSN | 0304-9914; 2234-3008/e |
| URL |
http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2010_v47n1_41 |
| Language | English |
| Journal | J. Korean Math. Soc. |
| Volume | 47 |
| Number | 1 |
| Pages | 41--62 |
| Publisher | Korean Mathematical Society, Seoul |
| Year | 2010 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
