Discriminants and Artin conductors
Artikel i vetenskaplig tidskrift, 2016

We study questions of multiplicities of discriminants for degenerations coming from projective duality over discrete valuation rings. The main observation 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, also wild ramification data in the form of Swan conductors. This builds upon results of T. Saito.

arithmetic surfaces

elliptic curves

Mathematics

formula

multiplicities

dual varieties

singularities

Författare

Dennis Eriksson

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Journal für die Reine und Angewandte Mathematik

0075-4102 (ISSN)

107-121

Ämneskategorier

Matematik

DOI

10.1515/crelle-2014-0022