Fibrations by nonsmooth genus three curves in characteristic three

DOI10.1016/j.jpaa.2010.11.007zbMath1218.14006OpenAlexW2108433821MaRDI QIDQ534022

Rodrigo Salomão

Publication date: 10 May 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.11.007

zbMATH Keywords

fibrationgenus threenonconservative function fieldnonsmooth curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Singularities of curves, local rings (14H20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Fibrations by non-smooth projective curves of arithmetic genus two in characteristic two ⋮ On algebraic surfaces of general type with negative ⋮ Fibrations by curves with more than one nonsmooth point

Cites Work

• Non-conservative function fields of genus \((p+1)/2\)
• An algorithm to calculate discrete invariants of singular primes in function fields
• On singular primes in function fields
• Enriques' classification of surfaces in char p. III
• Non-classical Gorenstein curves of arithmetic genus three and four
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• On Bertini's theorem for fibrations by plane projective quartic curves in characteristic five
• Singularities appearing on generic fibers of morphisms between smooth schemes
• Lectures on minimal models and birational transformations of two dimensional schemes
• Non-conservative function fields of genus one. I
• On compact analytic surfaces. II
• Equivalence relations on algebraic curves
• Zur Konservativität algebraischer Funktionenkörper.
• On Bertini's theorem in characteristic ${p}$ for families of canonical curves in ${\Bbb P}^{(p-3)/2}$
• Curves Over Discrete Valuation Rings
• Genus Change in Inseparable Extensions of Function Fields
• The Theorem of Bertini on the Variable Singular Points of a Linear System of Varieties

This page was built for publication: Fibrations by nonsmooth genus three curves in characteristic three