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Mathematics > Algebraic Geometry

arXiv:1807.11140 (math)
[Submitted on 30 Jul 2018]

Title:Algorithms And Programming On The Minimal Combinations Of Weights Of Projective Hypersurfaces

Authors:Dun Liang
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Abstract:This paper designs an alogrithm to compute the minimal combinations of finite sets in Euclidean spaces, and applys the algorithm of study the moment maps and geometric invariant stability of hypersurfaces. The classical example of cubic curves is repeated by the algorithm. Furhtermore the alogrithm works for cubic surfaces. For given affinely indepdent subsets of monomials, the algorithm can output the unique unstable points of the Morse strata if it exists. Also there is a discussion on the affinely dependent sets of monomials.
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14Q10
Cite as: arXiv:1807.11140 [math.AG]
  (or arXiv:1807.11140v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.11140

Submission history

From: Dun Liang [view email]
[v1] Mon, 30 Jul 2018 01:42:20 UTC (24 KB)
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