Journal of Advances in Mathematics and Computer Science

Codimension Two Complete Intersections and Hilbert-Poincare´ Series

Gabriel Sticlaru *

Faculty of Mathematics and Informatics, Ovidius University, Constanta, Romania.

*Author to whom correspondence should be addressed.

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Abstract

We investigate the relation between codimension two smooth complete intersections in a projective space and some naturally associated graded algebras. We give some examples of log-concave polynomials and we propose two conjectures for these algebras.

Keywords: Projective hypersurfaces, Singularities, Milnor algebra, Log concavity, Free resolutions, Hilbert-Poincare´ series.

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