On the birational geometry of varieties of maximal Albanese dimension

Details On the birational geometry of varieties of maximal Albanese dimension On the birational geometry of varieties of maximal Albanese dimension

2001-05-09

arxiv.org/abs/math/0105070v1

Mathematics

Algebraic Geometry

Latex file, 28 pages

Scientific paper

We study the birational geometry of varieties of maximal Albanese dimension. In particular we discuss criteria for a generically finite morphism of varieties of maximal Albanese dimension to be birational; we give a new characterization of Theta divisors; we study the Albanese map and refine some of the results of Koll\'ar; finally we use these results to birationally classify varieties with $P_3(X)=2$ and $q(X)=dim (X)$. Our method combines the generic vanishing theorems of Green and Lazarsfeld, the theory of Fourier Mukai transforms and the results of Koll\`ar on higher direct images of dualizing sheaves.

Affiliated with

Also associated with

No associations

Rating

On the birational geometry of varieties of maximal Albanese dimension 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 On the birational geometry of varieties of maximal Albanese dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the birational geometry of varieties of maximal Albanese dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-20239