Invariants and rigidity of projective hypersurfaces
Algebraic Geometry
2013-10-01 v1
Abstract
This paper continues our researches \cite{DS1, DS2, DS3} by computing some invariants based on Hilbert-Poincar\'{e} series associated to Milnor algebras. Our computations are for some of the classical surfaces and 3-folds with different configurations of isolated singularities. As a by-product of a recent result of E. Sernesi, we give examples of classical hypersurfaces which are (or are not) projectively rigid. We also include a Singular program to compute the invariants and to decide if a singular projective hypersurface is nodal and projectively rigid.
Keywords
Cite
@article{arxiv.1309.7356,
title = {Invariants and rigidity of projective hypersurfaces},
author = {Gabriel Sticlaru},
journal= {arXiv preprint arXiv:1309.7356},
year = {2013}
}