07 Nov 2014
10:30  - 12:00

kleiner Hörsaal

Seminar Algebra and Geometry: Jung Kyu Canci (Universität Basel)

Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch Locus

Let K be a number field and v a non archimedean valuation on K. We say that an endomorphism Φ : P1 → P1, defined over K, has good reduction at v if there exists a model Ψ for Φ such that deg Ψv, the degree of the reduction of Ψ modulo v, equals deg Ψ. We will present a criteria for the good reduction that is a generalization of a similar result due to Zannier where he considered some particular Belyi coverings (i.e. unramified except above{0,1,∞}). Our result applies to any rational maps and is in connection with other two notions of good reduction, the simple and the critically good reduction.


Veranstaltung übernehmen als iCal

Nach oben