A new proof of the nonrationality of cubic threefolds

Details A new proof of the nonrationality of cubic threefolds A new proof of the nonrationality of cubic threefolds

2002-04-03

arxiv.org/abs/math/0204041v2

Mathematics

Algebraic Geometry

7 Pages, typo fix

Scientific paper

A new proof of the non-rationality of a generic cubic threefold is given as follows: If a generic cubic threefold were rational then the associated intermediate Jacobian would be a product of Jacobians of curves. We degenerate a generic cubic threefold to the Segre Cubic Threefold and so there is a degeneration of intermediate Jacobians as well. Associated to the degenerating family of Pryms is a unimodular system of vectors. Rationality of the generic cubic threefold would imply that the unimodular system would be cographic dicing. However, we show that the unimodular system obtained is a well known symmetric non-cographic dicing called E_5.

Affiliated with

Also associated with

No associations

Rating

A new proof of the nonrationality of cubic threefolds 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 A new proof of the nonrationality of cubic threefolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new proof of the nonrationality of cubic threefolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340429