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References
Arason, J.K.: Cohomologie Invarienten quadratische Formen. J. Algebra36, 448–491 (1975)
Arason, J.K., Elman, R., Jacob, B.: The graded Witt ring and Galois cohomology. Can. Math. Soc. Conf. Proc.4, 17–50 (1984)
Ayoub, G.: Le groupe de Witt d'une surface réelle. Comment. Math. Helv.62, 74–105 (1987)
Bloch, S., Ogus, A.: Gersten's conjecture and the homology of schemes. Ann. Sci. Éc. Norm. Supér., IV Sér.7, 181–202 (1974)
Bochnak, J., Coste, M., Roy, M.-F.: Géométrie algébrique réelle. Ergebnisse der Math. und ihrer Grenzg. 3. Folge, Bd. 12. Berlin Heidelberg New York: Springer 1987
Brumfiel, G.: Some open problems, In Ordered fields and real algebraic geometry. Contemp. Math.8 (1981)
Colliot-Thélène, J.-L., Parimala, R.: Real components of algebraic varieties and étale cohomolog. Invent. Math.101, 81–99 (1990)
Elman, R., Lam, T.Y.: Classification theoremsfor quadratic forms over fields. Comment. Math. Helv.49, 373–381 (1974)
Elman, R., Lam, T.Y.: Quadratic forms over formally real fields and pythagorean fields. Am. J. Math.94, 1155–1194 (1972)
Fernández-Carmena, F.: On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field. Math. Ann.277, 453–468 (1987)
Fernández-Carmena, F.: The Witt group of a smooth complex surface. Math. Ann.277, 469–481 (1987)
Knebusch, M.: On algebraic curves over real closed fields. II. Math. Z.151, 189–205 (1976)
Houdebine, J., Mahé, L.: Separation des compasantes connexes réelles dans le cas des variétés projectives, in: Géométrie algébrique réelle et formes quadratiques (Lect. Notes Math., Vol. 959). Berlin Heidelberg New York: Springer 1982
Iskovskih, V.A.: On birational forms of rational surfaces. Am. Meth. Soc. Transl.84, 119–136 (1969)
Knebusch, M.: On algebraic curves over real closed fields, II. Math. Z.151, 189–205 (1976)
Knebusch, M.: Symmetric bilinear forms over algebraic varieties, in: Conference on quadratic forms (Kingston 1976) pp. 103–283, Queen's Pap. Pure Appl. Math.46 (1977)
Manin, Y.I.: Le groupe de Brauer-Grothendieck en géometrie diophantienne. Actes du Congrès Intern. Math. Nice (1970), Tome 1, pp. 401–411. Paris: Gauthier-Villars 1971
Manin, Y.I.: Rational surfaces over perfect fields. Am. Math. Soc. Translations84, 137–186 (1969)
Merkurjev, A.S.: On the norm residue homomorphism of degree two. Dokl. Akad. Nauk SSSR261, 542–547 (1981)
Merkurjev, A.S., Suslin, A.A.: On the norm residue homomorphism of degree three. LOMI Preprint (1968)
Milne, J.: Etale cohomology. Princeton Math. Series 33 (1980)
Parimala, R.: Witt groups of affine three-folds. Duke Math. J.57, 947–954 (1988)
Parimala, R., Sujatha, R.: Levels of non-real function fields of real rational surfaces. To appear in Am. J. Math.
Rost, M.: Hilbert 90 for K3 for degree two extensions. Preprint (1986)
Scharlau, W.: Quadratic and Hermitian forms. Grundlehren der Mathematischen Wissenschaften. Berlin Heidelberg New York: Springer 1985
Silhol, R.: Classification birationnelle des surfaces rationnelles réelles. Preprint, Montpellier (1989)
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Sujatha, R. Witt groups of real projective surfaces. Math. Ann. 288, 89–101 (1990). https://doi.org/10.1007/BF01444523
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DOI: https://doi.org/10.1007/BF01444523