Stability computation via Grobner basis
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- Title
- Stability computation via Grobner basis
- Authors
- Hassett, B; Hyeon, D; Lee, Y
- Date Issued
- 2010-01
- Publisher
- 대한수학회
- 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; MODULI SPACE; CURVES; POLYTOPES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/25729
- DOI
- 10.4134/JKMS.2010.47.1.041
- ISSN
- 0304-9914
- Article Type
- Article
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol. 47, no. 1, page. 41 - 62, 2010-01
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