The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
The Algebraic and Geometric Theory of Quadratic Forms
Abstract
This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages
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Cites
Grothendieck, A. (1964) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684747 · Cited by 2,824
Quillen, D. (1973) · Lecture Notes in Mathematics · doi:10.1007/bfb0067053 · Cited by 1,971
Serre, J.-P. (1973) · Graduate Texts in Mathematics · doi:10.1007/978-1-4684-9884-4 · Cited by 1,715 · cited 1×
“[123], I.”
Shafarevich, I. R. (1994) · Springer eBooks · doi:10.1007/978-3-642-57956-1 · Cited by 1,651
Knus, M.-A., Merkurjev, A. S., Rost, M., et al. (1998) · Colloquium Publications - American Mathematical Society/Colloquium Publications · doi:10.1090/coll/044 · Cited by 1,006
Self-citationMilnor, J., & Husemoller, D. H. (1973) · Springer eBooks · doi:10.1007/978-3-642-88330-9 · Cited by 938
AlgebraicK-theory and quadratic forms
Milnor, J. (1970) · Inventiones Mathematicae · doi:10.1007/bf01425486 · Cited by 518
Central Simple Algebras and Galois Cohomology
Gille, P., & Szamuely, T. (2006) · Cambridge University Press eBooks · doi:10.1017/cbo9780511607219 · Cited by 425
Motivic cohomology with 𝐙 / 2 -coefficients
Voevodsky, V. (2003) · Publications Mathématiques de l'IHÉS · doi:10.1007/s10240-003-0010-6 · Cited by 356
Sur les sous-groupes arithmétiques des groupes semi-simples déployés
Matsumoto, H. (1969) · Annales Scientifiques de l École Normale Supérieure · doi:10.24033/asens.1174 · Cited by 336
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Central Simple Algebras and Galois Cohomology
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Metadata
- Authors
- Elman, R., Karpenko, N., & Merkurjev, A.
- Venue
- Colloquium Publications
- Publisher
- American Mathematical Society
- Published
- 2008-07-15
- ISSN
- 0065-9258 (ISSN-L)
- OpenAlex
- W577276243
- Cited by
- 497
- References
- 17
- FWCI
- 11.92
- Type
- book
- Language
- en
- Open access
- closed
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