Elliptic fibers over non-perfect residue fields.

DOI10.1016/j.jnt.2003.06.004zbMath1041.14001OpenAlexW2083488298MaRDI QIDQ1421301

Michael Szydlo

Publication date: 26 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.06.004

zbMATH Keywords

resolution of singularitiesNéron modelTate's algorithmdiscrete valuation ringWeierstrass equationelliptic schemeKodaira symbolNéron model of an elliptic curvenon-perfect residue fieldvlow-up

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Fibrations, degenerations in algebraic geometry (14D06) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Minimal model program (Mori theory, extremal rays) (14E30) Singularities of curves, local rings (14H20) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items

Models of curves over discrete valuation rings, Néron models, Lie algebras, and reduction of curves of genus one, On a question of Zariski on Zariski surfaces, Néron models, Primitive divisors of elliptic divisibility sequences over function fields with constant \(j\)-invariant, Curves and Jacobians over Function Fields, Elliptic curves over the rational numbers with semi-abelian reduction and two-division points, Canonical bundle formula and base change, Moduli spaces of shtukas over the projective line, There is no Enriques surface over the integers

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