Alin Stefan: Intersections of base rings associated to transversal polymatroids, p.79-96

Abstract:

In this paper, we study when the intersection of base rings associated to some transversal polymatroids from [5] is the base ring of a transversal polymatroid. This intersection is a Gorenstein ring and we compute its $a$-invariant.

Key Words: Base ring, transversal polymatroid, equations of a cone, $a$-invariant, canonical module, Hilbert series.

2000 Mathematics Subject Classification: Primary: 13P10,
Secondary: 13H10, 13D40, 13A02.

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