Birationally rigid varieties with a pencil of Fano double covers. I

Details Birationally rigid varieties with a pencil of Fano double covers. I Birationally rigid varieties with a pencil of Fano double covers. I

2003-10-17

arxiv.org/abs/math/0310270v1

Mathematics

Algebraic Geometry

37 pages

Scientific paper

We prove that a general Fano fibration $\pi\colon V\to {\mathbb P}^1$, the
fiber of which is a double Fano hypersurface of index 1, is birationally
superrigid provided it is sufficiently twisted over the base. In particular, on
$V$ there are no other structures of a rationally connected fibration. The
proof is based on the method of maximal singularities.

Affiliated with

Also associated with

No associations

Rating

Birationally rigid varieties with a pencil of Fano double covers. I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Birationally rigid varieties with a pencil of Fano double covers. I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Birationally rigid varieties with a pencil of Fano double covers. I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440174