Formes quadratiques multiplicatives et variétés algébriques

DOI10.24033/bsmf.1865zbMath0386.14012OpenAlexW2585739148MaRDI QIDQ4166844

Jean-Louis Colliot-Thélène

Publication date: 1978

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1978__106__113_0

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rational and unirational varieties (14M20) Quadratic and bilinear forms, inner products (15A63) Totally real fields (11R80) Real algebraic and real-analytic geometry (14Pxx)

Related Items (8)

Zero-cycles on quadric fibrations: Finiteness theorems and the cycle map ⋮ Real zeros for positive semidefinite forms. I ⋮ Sums of squares in some integral domains ⋮ Unnamed Item ⋮ Formes quadratiques multiplicatives et variétés algébriques : deux compléments ⋮ Fibres quadratiques et composantes connexes réelles ⋮ Cycles, derived categories, and rationality ⋮ Real components of algebraic varieties and étale cohomology

Cites Work

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• Multiplikative quadratische Formen
• Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
• Dualität bei abelschen Varietäten über reell abgeschlossenen Körpern.
• La $R$-équivalence sur les tores
• Zerlegung reeller algebraischer Funktionen in Quadrate. Schiefkörper über reellem Funktionenkörper.
• Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
• RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES

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