Hurwitz families and nonabelian cohomology
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Publication:1965855
DOI10.5802/aif.1749zbMath0971.18011OpenAlexW2327356071MaRDI QIDQ1965855
Pierre Dèbes, Jean-Claude Douai, Michel Emsalem
Publication date: 1 March 2000
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_1_113_0
Nonabelian homological algebra (category-theoretic aspects) (18G50) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Coverings of curves, fundamental group (14H30) Coverings in algebraic geometry (14E20) Fine and coarse moduli spaces (14D22)
Related Items
𝑅-equivalence on low degree complete intersections ⋮ The field of moduli of a divisor on a rational curve ⋮ Families of finite coverings of the Riemann sphere ⋮ Lifting results for rational points on Hurwitz moduli spaces ⋮ The Deligne-Simpson problem -- survey ⋮ Endomorphism algebras of Jacobians ⋮ On fields of moduli of curves
Cites Work
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- The inverse Galois problem and rational points on moduli spaces
- Hurwitz schemes and irreducibility of moduli of algebraic curves
- Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
- Fields of definition of function fields and hurwitz families — groups as galois groups
- Braids, Links, and Mapping Class Groups. (AM-82)
- Gerbes and covers
- Algebraic covers: Field of moduli versus field of definition
- Familles de revêtements de la droite projective
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