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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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