The field of moduli of a divisor on a rational curve

DOI10.1016/j.jalgebra.2024.02.021arXiv2211.03438OpenAlexW4392364894MaRDI QIDQ6203781

Giulio Bresciani

Publication date: 8 April 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.03438

zbMATH Keywords

rational curvesfields of definitiondivisorsfields of moduli

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Curves in algebraic geometry (14Hxx) (Co)homology theory in algebraic geometry (14Fxx)

Cites Work

• The field of definition of point sets in \(\mathbb P^1\)
• On fields of moduli of curves
• Hurwitz families and nonabelian cohomology
• Fields of moduli of hyperelliptic curves
• On the Bombieri-Lang conjecture over finitely generated fields
• Algebraic Groups Over Finite Fields
• Gromov-Witten theory of Deligne-Mumford stacks
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Gerbes and covers
• Algebraic covers: Field of moduli versus field of definition
• Essential dimension and pro-finite group schemes
• The Nori fundamental gerbe of a fibered category
• Central Simple Algebras and Galois Cohomology
• A crystalline incarnation of Berthelot’s conjecture and Künneth formula for isocrystals
• An arithmetic valuative criterion for proper maps of tame algebraic stacks
• On the birational section conjecture with strong birationality assumptions
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