Grothendieck–Ogg–Shafarevich formula
id:
grothendieck-ogg-shafarevich-formula-190-7354996
title:
Grothendieck–Ogg–Shafarevich formula
text:
In mathematics, the Grothendieck–Ogg–Shafarevich formula describes the Euler characteristic of a complete curve with coefficients in an abelian variety or constructible sheaf, in terms of local data involving the Swan conductor. Andrew Ogg (1962) and Igor Shafarevich (1961) proved the formula for abelian varieties with tame ramification over curves, and Alexander Grothendieck (1977, Exp. X formula 7.2) extended the formula to constructible sheaves over a curve.
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https://en.wikipedia.org/wiki/Grothendieck%E2%80%93Ogg%E2%80%93Shafarevich_formula
date created:
date modified:
2021-01-14T02:05:14Z
main entity:
{"identifier":"Q5610735","url":"https://www.wikidata.org/entity/Q5610735"}
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