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Discriminants and Artin conductors

Dennis Eriksson (Institutionen för matematiska vetenskaper)
Journal Fur Die Reine Und Angewandte Mathematik (0075-4102). Vol. 712 (2016), p. 107-121.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: arithmetic surfaces, elliptic curves, dual varieties, multiplicities, singularities, formula, Mathematics, te jt, 1974, inventiones mathematicae, v23, p179



Denna post skapades 2016-03-18. Senast ändrad 2016-07-08.
CPL Pubid: 233406

 

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