3-FOLDS IN P(5) OF DEGREE-12

Authors
Citation
G. Edelmann, 3-FOLDS IN P(5) OF DEGREE-12, Manuscripta mathematica, 82(3-4), 1994, pp. 393-406
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00252611
Volume
82
Issue
3-4
Year of publication
1994
Pages
393 - 406
Database
ISI
SICI code
0025-2611(1994)82:3-4<393:3IPOD>2.0.ZU;2-G
Abstract
Let X be a 3-dimensional submanifold of P5 of degree 12. This article gives, up to one case, a complete classification of the deformation cl asses of those 3-folds. The main tools used are methods already applie d in the classification of degrees 9 to 11 and adjunction theoretic re sults. We show here how the 2nd reduction of X can be applied to analy ze the birational structure of X or even exclude the existence of X.