Symmetric roots and admissible pairing

DOI10.1090/S0002-9947-2011-05217-7zbMath1304.11056arXiv0906.2112MaRDI QIDQ3020338

Robin de Jong

Publication date: 4 August 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2112

zbMATH Keywords

local fieldshyperelliptic curvesadmissible pairingself-intersection of the relative dualising sheafsymmetric roots

Mathematics Subject Classification ID

[https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Admissible pairing on a curve
• Calculus on arithmetic surfaces
• La formule de Noether pour les surfaces arithmétiques. (The Noether formula for arithmetic surfaces)
• Explicit Mumford isomorphism for hyperelliptic curves
• Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields
• Formelle Standardmodelle hyperelliptischer Kurven
• Bogomolov conjecture for curves of genus 2 over function fields
• Lifting of \(p\)-cyclic coverings of semi-stable rational curves. (Relèvement des revêtements \(p\)-cycliques des courbes rationnelles semi-stables.)
• Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
• Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristics
• Gross-Schoen cycles and dualising sheaves
• Admissible constants for genus 2 curves
• Deformations of curves I moduli for hyperelliptic curves
• On the Discriminant of a Hyperelliptic Curve