MULTIGRADED REGULARITY OF COMPLETE INTERSECTIONS
Résumé
V is a complete intersection scheme in a multiprojective space if it can be defined by an ideal I with as many generators as codim(V). We investigate the multigraded regularity of complete intersections scheme in P n × P m. We explicitly compute many values of the Hilbert functions of 0-dimensional complete intersections. We show that these values only depend upon n, m, and the bidegrees of the generators of I. As a result, we provide a sharp upper bound for the multigraded regularity of 0-dimensional complete intersections.
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