Scorza varieties and Jordan algebras

Indagationes Mathematicae

Volumn 14, Issue 2, 2003, Pages 169-182

  Chaput, Pierre Emmanuel ^a  

^a INSTITUT FOURIER   (France)

Author keywords

Jordan algebras; Projective geometry; Scorza variety; Secant variety; Severi

Indexed keywords

EID: 0345116412     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(03)90002-4     Document Type: Article

References (9)

1. Bertram, W. - The geometry of Jordan and Lie structures, Lecture Notes in Mathematics 1754, Springer-Verlag, Berlin (2000).
2. Chaput, P.E. - Severi varieties, Math. Z. 240, no. 2, 451-459 (2002).
3. Ein, L. and N. Shepherd-Barron - Some special Cremona transformations, Amer. J. Math. 111, no. 5, 783-800 (1989).
4. Faraut, J. and A. Koranyi - Analysis on symmetric cones, Oxford mathematical monographs, Oxford science publications (1994).
5. Jacobson, N. - Structure and representations of Jordan algebras, Am. Math. Soc. Coll. Publ. vol XXXIX (1968).
6. Koecher, M. - The Minnesota notes on Jordan algebras and their applications, Lecture Notes in Mathematics 1710, Springer-Verlag, Berlin (1962).
7. McCrimmon, K. - Norms and non-commutative Jordan algebras, Pacific J. Math 15, 925-956 (1965).
8. Springer, T.A. - Jordan algebras and algebraic groups, 2nd edition, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 75. Springer-Verlag, New York-Heidelberg (1973).
9. Zak, F.L. - Tangents and Secants of Algebraic Varieties, American Mathematical Society, Providence, RI (1993).