Discriminants and Artin conductors

Details Discriminants and Artin conductors Discriminants and Artin conductors

2011-06-15

arxiv.org/abs/1106.3096v1

Mathematics

Number Theory

Scientific paper

We study questions of multiplicities of discriminants for degenerations coming from projective duality over discrete valuation rings. The main result is a type of discriminant-different formula in the sense of classical algebraic number theory, and we relate it to Artin conductors via Bloch's conjecture. In the case of discriminants of planar curves we can calculate the different precisely. In general these multiplicities encode topological invariants of the singular fibers and in the case of characteristic $p$, wild ramification data in the form of Swan conductors.

Affiliated with

Also associated with

No associations

Rating

Discriminants and Artin conductors 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 Discriminants and Artin conductors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discriminants and Artin conductors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188917