Jumping deformations of complete toric varieties

Hiroshi Sato

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-13

Abstract:

We construct one-parameter complex analytic families whose special fibers are complete toric varieties. Under appropriate assumptions, the general fibers of these families also become toric varieties, and the corresponding fans are explicitly described by the data of the fans associated to the special fibers. Using these families, we construct a deformation family for a certain toric weakened Fano 3 -fold. Moreover, we obtain certain examples of toric weakened Fano 4 -folds.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/636947.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/636947.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:636947

DOI: 10.1155/S0161171203212291

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().