Summary
The aim of this paper is to survey and extend some results concerning multiples of (quadratic, hermitian, bilinear…) forms.
To my friend Parimala
2010 Mathematics subject classification. Primary: 12G05. Secondary: 12F99.
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References
E. Bayer–Fluckiger, Principe de Hasse faible pour les systèmes de formes quadratiques, J. Reine Angew. Math. 378 (1987), 53–59.
E. Bayer–Fluckiger, Galois cohomology and the trace form, Jahresber. DMV 96 (1994), 35–55.
E. Bayer–Fluckiger, Multiples of trace forms and algebras with involution, IMRN (2007), no 23, Art. ID rnm112, 15 pp.
E. Bayer–Fluckiger, M. Monsurrò, R. Parimala, R. Schoof, Trace forms of Galois algebras over fields of cohomological dimension ≤ 2, Pacific J. Math., 217 (2004), 29–43.
E. Bayer–Fluckiger and R. Parimala, Galois cohomology of the classical groups over fields of cohomolgical dimension ≤ 2, Invent. Math. 122 (1995), 195–229.
G. Berhuy, Cohomological invariants of quaternionic skew-hermitian forms, Archiv. Math. 88 (2007), 434–447.
Ph. Chabloz, Anneau de Witt des G-formes et produit des G-formes trace par des formes quadratiques, J. Algebra 266 (2003), 338–361.
D. Orlov, A. Vishik, V. Voedovsky, An exact sequence for Milnor’s K-theory with applications to quadratic forms, Ann. Math. 165 (2007), 1–13.
R. Parimala, R. Sridharan and V. Suresh, Hermitian analogue of a theorem of Springer, J. Algebra 243 (2001), 780–789.
W. Scharlau, Quadratic and Hermitian Forms, Grundlehren der Math. Wiss, Springer–Verlag, Berlin (1985).
J-P. Serre, Cohomologie galoisienne, Lecture Notes in Mathematics, Springer–Verlag, Berlin (1964 and 1994).
J-P. Serre, Corps locaux, Hermann (1968).
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Bayer-Fluckiger, E. (2010). Multiples of forms. In: Colliot-Thélène, JL., Garibaldi, S., Sujatha, R., Suresh, V. (eds) Quadratic Forms, Linear Algebraic Groups, and Cohomology. Developments in Mathematics, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6211-9_1
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DOI: https://doi.org/10.1007/978-1-4419-6211-9_1
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