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arXiv · 0710.4376

Castelnuovo-Mumford regularity and reduction number of smooth monomial curves

Michael Hellus·Lê Tuân Hoa·Jürgen Stückrad
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Abstract

We compare, for smooth monomial projective curves, the Castel- nuovo-Mumford regularity and the reduction number; we present an example where these two numbers differ. However, we show they coin- cide for a certain class of monomial curves. Furthermore, for smooth monomial curves we prove an inequality which is stronger than the one from the Eisenbud-Goto conjecture.

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Michael Hellus, Lê Tuân Hoa, Jürgen Stückrad. 2007-10-24. Castelnuovo-Mumford regularity and reduction number of smooth monomial curves. https://arxiv.org/abs/0710.4376

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