Katz, Nicholas M.; Lang, Serge (1981), "Finiteness theorems in geometric classfield theory", L'Enseignement Mathématique, IIe Série, 27 (3), With an appendix by Kenneth A. Ribet: 285–319, doi:10.5169/seals-51753, ISSN 0013-8584, MR 0659153, Zbl 0495.14011
This number theory-related article is a stub. You can help Wikipedia by expanding it.
katz, lang, finiteness, theorem, number, theory, proved, nick, katz, serge, lang, 1981, states, that, smooth, geometrically, connected, scheme, finite, type, over, field, that, finitely, generated, over, prime, field, kernel, maps, between, their, abelianized,. In number theory the Katz Lang finiteness theorem proved by Nick Katz and Serge Lang 1981 states that if X is a smooth geometrically connected scheme of finite type over a field K that is finitely generated over the prime field and Ker X K is the kernel of the maps between their abelianized fundamental groups then Ker X K is finite if K has characteristic 0 and the part of the kernel coprime to p is finite if K has characteristic p gt 0 References editKatz Nicholas M Lang Serge 1981 Finiteness theorems in geometric classfield theory L Enseignement Mathematique IIe Serie 27 3 With an appendix by Kenneth A Ribet 285 319 doi 10 5169 seals 51753 ISSN 0013 8584 MR 0659153 Zbl 0495 14011 nbsp This number theory related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Katz Lang finiteness theorem amp oldid 971234186, wikipedia, wiki, book, books, library,
