On the arithmetic Chern character

Details On the arithmetic Chern character On the arithmetic Chern character

2012-01-24

arxiv.org/abs/1201.4968v1

Mathematics

Algebraic Geometry

Scientific paper

We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternated sum of the arithmetic Chern characters of these bundles is the sum of two terms, namely the secondary Bott Chern character class of the sequence and its Chern character with supports on the finite fibers. Next, we compute these classes in the situation encountered by the second author when proving a "Kodaira vanishing theorem" for arithmetic surfaces.

Affiliated with

Also associated with

No associations

Rating

On the arithmetic Chern character 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 arithmetic Chern character, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the arithmetic Chern character will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-107027