Mathematics – Algebraic Geometry
Scientific paper
2009-10-12
Mathematics
Algebraic Geometry
25 pages, 2 figures, accompanying file of code samples
Scientific paper
We give a method for verifying, by a symbolic calculation, the stability or semistability with respect to a linearization of fixed, possibly small, degree $m$, of the Hilbert point of a scheme $X \in {\mathbb P}(V)$ having a suitably large automorphism group. We also implement our method and apply it to analyze the stability of bicanonical models of certain curves. Our examples are very special, but they arise naturally in the log minimal model program for $\bar{\mathcal M}_g$. In some examples, this connection provides a check of our computations; in others, the computations confirm predictions about conjectural stages of the program.
Morrison Ian
Swinarski David
No associations
LandOfFree
Groebner techniques for low degree Hilbert stability does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Groebner techniques for low degree Hilbert stability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Groebner techniques for low degree Hilbert stability will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-463816