Genre et genre residuel des corps de fonctions valués. (Genus and residual genus of valued function fields)
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Publication:1821834
DOI10.1007/BF01169090zbMath0617.14020OpenAlexW1995966757MaRDI QIDQ1821834
Publication date: 1987
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155218
Arithmetic theory of algebraic function fields (11R58) Ramification problems in algebraic geometry (14E22) Algebraic functions and function fields in algebraic geometry (14H05) Valued fields (12J10)
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L'existence de certaines spécialisations de courbes projective, A Structure Theorem for Simple Transcendental Extensions of Valued Fields, Residue fields of valued function fields of conics, The Henselian Defect for Valued Function Fields, Recent results in the theory of constant reductions, On value groups and residue fields of some valued function fields, Nonsplit conics in the reduction of an arithmetic curve, On residually transcendental valued function fields of conics, Action of the Galois group on the periods of certain Mumford curves, On valued function fields. I, Genera of curves varying in a family, Prolongement de la valeur absolue de Gauss et problème de Skolem, On k-Subspaces of L-vector-spaces, Relative inequality between genera. Appendix by Michel Matignon and Taoufik Youssefi: Good reduction and surjective morphisms
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