Bounds on the number of non-rational subfields of a function field

DOI10.1007/BF01388797zbMath0615.12017MaRDI QIDQ1820819

Ernst Kani

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143364

zbMATH Keywords

Jacobianfunction fieldgenustheorem of the basede Franchis' theoremAngle theoremChow coordinatesnumber of morphisms of algebraic curvesnumber of non-rational subfieldsnumber of separable subfields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Jacobians, Prym varieties (14H40) Divisors, linear systems, invertible sheaves (14C20) Special surfaces (14J25) Algebraic functions and function fields in algebraic geometry (14H05) Birational geometry (14E99)

Related Items

Estimations du nombre d'applications rationnelles d'une variété fixe aux variétés de type général. (Estimates of the number of rational mappings from a fixed variety to varieties of general type.), Idempotent relations and factors of Jacobians, On the Parshin-Arakelov theorem and integral sections on elliptic surfaces, On rational maps from a general surface in to surfaces of general type, The number of mappings between compact Riemann surfaces, An application of Mumford's gap principle., On the torsion in \(K_2\) of a field, Unnamed Item, Homological equivalence relations on an algebraic curve, Galois branched covers with fixed ramification locus, On holomorphic maps between Riemann surfaces of genera three and two, Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus, Very strange projective curves, Formal orbifolds and orbifold bundles in positive characteristic, Surfaces in \(\mathbb{P}^4\) with a family of plane curves, Morphisms and period matrices

Cites Work

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• On the bound for the De Franchis - Severi theorem
• Lectures on old and new results on algebraic curves
• Teilkörper höheren Geschlechts eines algebraischen Funktionenkörpers
• On Castelnuovo's equivalence defect.
• Normendomophsimen abelscher Varietäten.
• A Remark on Mordell's Conjecture