Weighted veronese rings via convex semigroups
Bek Chase, Luca Fiorindo, Thiago Holleben, Emanuela Marangone, Thái Thành Nguyễn, Alexandra Seceleanu, Srishti Singh
Source abstract
Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property. We give examples in higher dimensions illustrating that the first and last properties may fail. Our approach leverages convex monomial ideals as introduced in [16], which give rise to convex semigroups.
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