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arXiv · 1507.08543

Mixed multiplicities, Hilbert polynomials and homaloidal surfaces

Alexandru Dimca·Gabriel Sticlaru
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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.

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Alexandru Dimca, Gabriel Sticlaru. 2015-12-17. Mixed multiplicities, Hilbert polynomials and homaloidal surfaces. https://arxiv.org/abs/1507.08543

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