Divided powers in Chow rings and integral Fourier transforms

Details Divided powers in Chow rings and integral Fourier transforms Divided powers in Chow rings and integral Fourier transforms

2009-04-25

arxiv.org/abs/0904.3995v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

We prove that for any monoid scheme M over a field with proper multiplication maps from M x M to M, we have a natural PD-structure on the ideal CH_{>0}(M) of CH(M) with regard to the Pontryagin ring structure. Further we investigate to what extent it is possible to define a Fourier transform on the motive with integral coefficients of the Jacobian of a curve. For a hyperelliptic curve of genus g with sufficiently many k-rational Weierstrass points, we construct such an integral Fourier transform with all the usual properties up to 2^N-torsion, where N is the integral part of 1 + log_2(3g). As a consequence we obtain, over an algebraically closed field, a PD-structure (for the intersection product) on 2^N A, where A is the augmentation ideal of CH(J). We show that a factor 2 in the properties of an integral Fourier transform cannot be eliminated even for elliptic curves over an algebraically closed field.

Affiliated with

Also associated with

No associations

Rating

Divided powers in Chow rings and integral Fourier transforms 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 Divided powers in Chow rings and integral Fourier transforms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Divided powers in Chow rings and integral Fourier transforms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-671490