Higher composition laws I: A new view on Gauss composition, and quadratic generalizations

Annals of Mathematics

Volumn 159, Issue 1, 2004, Pages 217-250

  Bhargava, Manjul ^a,b  

^a Clay Mathematics Institute   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442457962     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2004.159.217     Document Type: Review

References (9)

1. H. BASS, Torsion free and projective modules, Trans. Amer. Math. Soc. 102 (1962), 319-327.
2. M. BHARGAVA, Higher Composition Laws, Ph.D. Thesis, Princeton University, June 2001.
3. P. G. L. DIRICHLET, Zahlentheorie, 4th. edition, Vieweg Brunswick, 1894.
4. G. EISENSTEIN, Théorèmes sur les formes cubiques et solution d'une équation du quatrième degré indéterminées, J. reine angew. Math. 27 (1844), 75-79.
5. C. F. GAUSS, Disquisitiones Arithmeticae, 1801.
6. D. HILBERT, Theory Of Algebraic Invariants, Engl. trans. by R. C. Laubenbacher, Cambridge University Press, 1993.
7. M. SATO and T. KIMURA, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J. 65 (1977), 1-155.
8. J-P. SERRE, Modules projectifs et espaces fibrés à fibre vectorielle, Séminaire Dubreil-Pisot 1957/58, no. 23.
9. D. J. WRIGHT and A. YUKIE, Prehomogeneous vector spaces and field extensions, Invent. Math. 110 (1992), 283-314.