The classification of universal Jacobians over the moduli space of curves

Details The classification of universal Jacobians over the moduli space of curves The classification of universal Jacobians over the moduli space of curves

2010-05-28

arxiv.org/abs/1005.5354v2

Mathematics

Algebraic Geometry

19 pages. Final version, to appear in Comm. Math. Helvetici

Scientific paper

We carry out a complete birational classification of the degree g universal Jacobian P_g over the moduli space of curves, highlighting the transition cases g=10, 11. The universal Jacobian is unirational when g<10, has Kodaira dimension zero for g=10 and Kodaira dimension 19 for g=11. For g>11, the variety P_g has Kodaira dimension 3g-3, that is, the maximum allowed by Iitaka's easy addition formula for fibre spaces. In particular, we disprove the expectation that P_g and M_g have the same Kodaira dimension for all genera.

Affiliated with

Also associated with

No associations

Rating

The classification of universal Jacobians over the moduli space of curves 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 The classification of universal Jacobians over the moduli space of curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The classification of universal Jacobians over the moduli space of curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16559