The local monodromy as a generalized algebraic correspondence

Details The local monodromy as a generalized algebraic correspondence The local monodromy as a generalized algebraic correspondence

1998-01-17

arxiv.org/abs/math/9801080v1

Mathematics

Algebraic Geometry

41 pages, LaTeX2e

Scientific paper

In the paper we show that for a normal-crossings degeneration $Z$ over the ring of integers of a local field with $X$ as generic fibre, the local monodromy operator and its powers determine invariant cocycle classes under the decomposition group in the cohomology of the product $X \times X$. More precisely, they also define algebraic cycles on the special fibre of a resolution of $Z \times Z$. In the paper, we give an explicit description of these cycles for a degeneration with at worst triple points as singularities. These cycles explain geometrically the presence of poles on specific local factors of the L-function related to $X \times X$.

Affiliated with

Also associated with

No associations

Rating

The local monodromy as a generalized algebraic correspondence 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 local monodromy as a generalized algebraic correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local monodromy as a generalized algebraic correspondence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224810