AN ALGORITHMIC DESINGULARIZATION OF 3-DIMENSIONAL TORIC VARIETIES

Authors
AGUZZOLI S MUNDICI D
Citation
S. Aguzzoli et D. Mundici, AN ALGORITHMIC DESINGULARIZATION OF 3-DIMENSIONAL TORIC VARIETIES, Tohoku Mathematical Journal, 46(4), 1994, pp. 557-572
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
46
Issue
4
Year of publication
1994
Pages
557 - 572
Database
ISI
SICI code
0040-8735(1994)46:4<557:AADO3T>2.0.ZU;2-#
Abstract
We present an algorithmic procedure to desingularize every 3-dimension al toric variety, while keeping under control the Euler characteristic of the varieties computed during the process. We prove that our upper bounds for the Euler characteristic of the desingularized toric varie ties are the best possible.