Invariants and rigidity of projective hypersurfaces

Abstract

This paper continues our researches \cite{DS1, DS2, DS3} by computing some invariants based on Hilbert-Poincaré 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.

Cited by in corpus (3)

• On some conjectures about free and nearly free divisors
• Log-concavity of Milnor algebras for projective hypersurfaces
• On the syzygies and Hodge theory of nodal hypersurfaces