Sugli ideali di Borel

Maria Grazia Marinari

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 1, page 207-237
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Marinari, Maria Grazia. "Sugli ideali di Borel." Bollettino dell'Unione Matematica Italiana 4-B.1 (2001): 207-237. <http://eudml.org/doc/194925>.

@article{Marinari2001,
author = {Marinari, Maria Grazia},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {monomial ideal; Borel-fixed ideal; Hilbert function; minimal free resolutions; Betti numbers},
language = {ita},
month = {2},
number = {1},
pages = {207-237},
publisher = {Unione Matematica Italiana},
title = {Sugli ideali di Borel},
url = {http://eudml.org/doc/194925},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Marinari, Maria Grazia
TI - Sugli ideali di Borel
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/2//
PB - Unione Matematica Italiana
VL - 4-B
IS - 1
SP - 207
EP - 237
LA - ita
KW - monomial ideal; Borel-fixed ideal; Hilbert function; minimal free resolutions; Betti numbers
UR - http://eudml.org/doc/194925
ER -

References

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