Abelian geometric fundamental groups for curves over a \(p\)-adic field

DOI10.5802/jtnb.1269arXiv2201.05982OpenAlexW4392370028MaRDI QIDQ6121267

Toshiro Hiranouchi, Evangelia Gazaki

Publication date: 26 March 2024

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.05982

zbMATH Keywords

fundamental groupsclass field theoryand elliptic curves

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Geometric class field theory (11G45) Curves over finite and local fields (11G20)

Cites Work

• Class field theory for a product of curves over a local field
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• On the rational points of some Jacobian varieties over large algebraic number fields
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• Milnor \(K\)-groups attached to elliptic curves over a \(p\)-adic field
• Isogenies of degree \(p\) of elliptic curves over local fields and Kummer theory.
• Algebraic K-theory and classfield theory for arithmetic surfaces
• Kummer theory for abelian varieties over local fields
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• On Chow and Brauer groups of a product of Mumford curves
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• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
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