ENRIQUES DIAGRAMS, RESOLUTIONS AND TORIC CLUSTERS

Authors
CAMPILLO A GONZALEZSPRINBERG G LEJEUNEJALABERT M
Citation
A. Campillo et al., ENRIQUES DIAGRAMS, RESOLUTIONS AND TORIC CLUSTERS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(3), 1995, pp. 329-334
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
3
Year of publication
1995
Pages
329 - 334
Database
ISI
SICI code
0764-4442(1995)320:3<329:EDRATC>2.0.ZU;2-M
Abstract
We study morphisms obtained by blowing up the points in a constellatio n C of infinitely near nonsingular points, the associated Enriques dia grams, and singularities defined by r-tuples of nondegenerate function s with respect to an integer weighted constellation, i.e. a cluster. N on-degenerate r-tuples exist for clusters coming from complete ideals supported in C in characteristic 0. We describe the semigroup of these ideals and, if C is toric, we compute it.