Translator Disclaimer
2017 Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities
Melanie Wood, Takehiko Yasuda
Algebra Number Theory 11(4): 817-840 (2017). DOI: 10.2140/ant.2017.11.817

Abstract

A total mass is the weighted count of continuous homomorphisms from the absolute Galois group of a local field to a finite group. In the preceding paper, the authors observed that in a particular example two total masses coming from two different weightings are dual to each other. We discuss the problem of how generally such a duality holds and relate it to the existence of simultaneous resolution of singularities, using the wild McKay correspondence and the Poincaré duality for stringy invariants. We also exhibit several examples.

Citation

Download Citation

Melanie Wood. Takehiko Yasuda. "Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities." Algebra Number Theory 11 (4) 817 - 840, 2017. https://doi.org/10.2140/ant.2017.11.817

Information

Received: 19 June 2015; Accepted: 1 March 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06735372
MathSciNet: MR3665638
Digital Object Identifier: 10.2140/ant.2017.11.817

Subjects:
Primary: 11S15
Secondary: 11G25, 14E15, 14E16

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
24 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.11 • No. 4 • 2017
MSP
Back to Top