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Sugli ideali di Borel

Maria Grazia Marinari — 2001

Bollettino dell'Unione Matematica Italiana

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 h -vector and their minimal free resolutions.

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