Sugli ideali di Borel
Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 1, pp. 207-237
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.
@article{BUMI_2001_8_4B_1_a6,
author = {Marinari, Maria Grazia},
title = {Sugli ideali di {Borel}},
journal = {Bollettino della Unione matematica italiana},
pages = {207--237},
year = {2001},
volume = {Ser. 8, 4B},
number = {1},
zbl = {1035.13009},
mrnumber = {MR1821405},
language = {it},
url = {http://geodesic.mathdoc.fr/item/BUMI_2001_8_4B_1_a6/}
}
Marinari, Maria Grazia. Sugli ideali di Borel. Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 1, pp. 207-237. http://geodesic.mathdoc.fr/item/BUMI_2001_8_4B_1_a6/