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- Title
Mixed multiplicities, Hilbert polynomials and homaloidal surfaces.
- Authors
Dimca, Alexandru; Sticlaru, Gabriel
- Abstract
We investigate the relationship among several numerical invariants associated to a (free) projective hypersurface V: the sequence of mixed multiplicities of its Jacobian ideal, the Hilbert polynomial of its Milnor algebra, and the sequence of exponents when V is free. As a byproduct, we obtain explicit equations for some of the homaloidal surfaces in the projective 3-dimensional space constructed by C. Ciliberto, F. Russo and A. Simis.
- Subjects
MULTIPLICITY (Mathematics); HILBERT algebras; POLYNOMIALS; HYPERSURFACES; GEOMETRIC surfaces; INVARIANTS (Mathematics)
- Publication
Mathematische Nachrichten, 2017, Vol 290, Issue 5/6, p785
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201600205