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- Title
Fano direct products as rationally connected fibrations.
- Authors
Pukhlikov, A.
- Abstract
Combining the connectedness principle of Shokurov and Kollár, we develop a new technique of studying birational maps of natural Fano fiber spaces. We prove that the only structures of a rationally connected fibration on direct products of typical Fano varieties are projections onto the factors. In particular, the groups of biregular and birational self-maps of Fano direct products coincide.
- Subjects
FIBER spaces (Mathematics); MATHEMATICAL singularities; QUARTIC fields; IRREDUCIBLE polynomials; ALGEBRAIC varieties; MATHEMATICAL mappings
- Publication
Journal of Mathematical Sciences, 2007, Vol 140, Issue 2, p303
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-007-0425-6