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Original Articles

Linkage of quadratic Pfister forms

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Pages 5212-5226 | Received 23 Nov 2016, Published online: 28 Apr 2017

References

  • Arason, J. K. (2006). Generators and relations for Wq(K) in characteristic 2. Raunvísindastofnun Háskólans.
  • Chapman, A. (2015). Common subfields of p-algebras of prime degree. Bull. Belg. Math. Soc. Simon Stevin 22(4):683–686. MR 3429179
  • Draxl, P. (1975). über gemeinsame separabel-quadratische Zerfällungskörper von Quaternionenalgebren. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II, (16):251–259. MR 0480436
  • Elman, R., Karpenko, N., Merkurjev, A. (2008). The Algebraic and Geometric Theory of Quadratic Forms. American Mathematical Society Colloquium Publications, Vol. 56. Providence, RI: American Mathematical Society. MR 2427530 (2009d:11062)
  • Elman, R., Lam, T. Y., Wadsworth, A. R. (1979). Function fields of Pfister forms. Invent. Math. 51(1):61–75. MR 524277
  • Elduque, A., Villa, O. (2005). A note on the linkage of Hurwitz algebras. Manuscripta Math. 117(1):105–110. MR 2142905 (2005m:11068)
  • Faivre, F. (2006). Liaison des Formes de Pfister et corps de Fonctions de Quadriques en Caractéristique 2, Thesis (Ph.D.)–Université de Franche-Comté.
  • Hoffmann, D. W., Laghribi, A. (2006). Isotropy of quadratic forms over the function field of a quadric in characteristic 2. J. Algebra 295(2):362–386. MR 2194958 (2007a:11052)
  • Knus, M.-A., Merkurjev, A., Rost, M., Tignol, J.-P. (1998). The Book of Involutions, Colloquium Publications, Vol. 44. Providence, RI: American Mathematical Society.
  • Laghribi, A. (2002). Certaines formes quadratiques de dimension au plus 6 et corps des fonctions en caractéristique 2. Israel J. Math. 129:317–361. MR 1910948
  • Lam, T. Y. (2002). On the linkage of quaternion algebras. Bull. Belg. Math. Soc. Simon Stevin 9(3):415–418. MR 2016580
  • Peyre, E. (1995). Products of Severi-Brauer Varieties and Galois Cohomology. K-theory and algebraic geometry: Connections with quadratic forms and division algebras (Santa Barbara, CA, 1992), Proc. Sympos. Pure Math., Vol. 58 Providence, RI: Amer. Math. Soc., pp. 369–401. MR 1327310 (96d:19008)
  • Quéguiner-Mathieu, A., Tignol, J.-P. (2015). The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group. Doc. Math., no. Extra vol.: Alexander S. Merkurjev’s sixtieth birthday, 529–576. MR 3404395
  • Sivatski, A. S. (2014). Linked triples of quaternion algebras. Pacific J. Math. 268(2):465–476. MR 3227443

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