Title
On del Pezzo fibrations that are not birationally rigid.
Abstract
We consider P(1, 1, 1, 2) bundles over P-1 and construct hypersurfaces of these bundles which form a degree 2 del Pezzo fibration over P-1 as a Mori fibre space. We classify all such hypersurfaces whose type III or IV Sarkisov link, inherited from the ambient space, pass to a different Mori fibre space. A similar result for cubic surface fibrations over P-2 is also presented.
Year
DOI
Venue
2012
10.1112/jlms/jdr079
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Field
DocType
Volume
Cubic surface,Algebra,Mathematical analysis,Pure mathematics,Fibration,Mathematics
Journal
86
Issue
ISSN
Citations 
1
0024-6107
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Hamid Ahmadinezhad100.68