Borel ideals in three variables.
Successioni di Gorenstein e proprietà
Sugli ideali di Borel
In this note we study some algebraic properties of Borel Ideals in the ring of polynomials over an effective field of characteristic zero by using a suitable partial order relation defined on the set of terms of each degree. In particular, in the three variable case, we characterize all the 0-dimensional Borel ideals corresponding to an admissible -vector and their minimal free resolutions.
Nagata's Criterion and Openness of Loci for Gorenstein and Complete Intersection.
Regularity bounds by minimal generators and Hilbert function.
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