Back to Search
Start Over
Extending rationally connected fibrations from ample subvarieties
- Publication Year :
- 2020
-
Abstract
- Using deformation theory of rational curves, we prove a conjecture of Sommese on the extendability of morphisms from ample subvarieties when the morphism is a smooth (or mildly singular) fibration with rationally connected fibers. We apply this result in the context of Fano fibrations and prove a classification theorem for projective bundle and quadric fibration structures on ample subvarieties.<br />13 pages. formerly last two sections of arXiv:1911.10385
- Subjects :
- Pure mathematics
Quadric
Conjecture
General Mathematics
010102 general mathematics
05 social sciences
Fibration
Context (language use)
Algebraic geometry
Fano plane
16. Peace & justice
01 natural sciences
Mathematics - Algebraic Geometry
Morphism
Mathematics::Algebraic Geometry
0502 economics and business
Primary 14D06, Secondary 14J45, 14M22
FOS: Mathematics
Classification theorem
0101 mathematics
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
050203 business & management
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....a4a0beb2133d4914e3850ce606cc2e9b