Reduction types of CM curves
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Publication:6568718
DOI10.2140/PJM.2024.329.233MaRDI QIDQ6568718
Publication date: 8 July 2024
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22) Elliptic curves over local fields (11G07)
Cites Work
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- Wild quotient singularities of surfaces
- On Néron's classification of elliptic curves of residue characteristics 2 and 3
- Die stabile Reduktion der Fermatkurve über einem Zahlkörper. (The stable reduction of the Fermat curve over a number field)
- Dual graphs of degenerating curves
- Fields of definition for homomorphisms of abelian varieties
- Stable genus 2 curves and their moduli scheme
- Twists and reduction of an elliptic curve
- Néron models
- Class invariants for quartic CM fields
- Good reduction of abelian varieties
- The irreducibility of the space of curves of a given genus
- Spécialisation du foncteur de Picard
- Good and stable reduction of Abelian varieties
- Purely additive reduction of abelian varieties with torsion
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- On the group of components of a Néron model.
- Genus 2 Curves with Complex Multiplication
- Local Bounds for Torsion Points on Abelian Varieties
- The Arithmetic of Elliptic Curves
- Néron Models
- Examples of genus two CM curves defined over the rationals
- Modèles minimaux des courbes de genre deux.
- Minimal regular models of quadratic twists of genus two curves
- Torsion des variétés abéliennes CM
- Quadratic Twists of Abelian Varieties With Real Multiplication
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