Singularities of hyperdeterminants

Annales de l'Institut Fourier

Volumn 46, Issue 3, 1996, Pages 591-644

  Weyman, J ^a   Zelevinsky, A ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Cusp type singularities; Hyperdeterminant; Node type singularities; Projectively dual variety; Segre embedding; Singular locus

Indexed keywords

EID: 0030520736     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1526     Document Type: Article

References (15)

1. A. CAYLEY, On the theory of elimination, Cambridge and Dublin Math. Journal, 3 (1848), 116-120; reprinted in: Collected Papers, Vol. 1, No 59, 370-374, Cambridge University Press, 1889.
2. A. CAYLEY, On the theory of elimination, Cambridge and Dublin Math. Journal, 3 (1848), 116-120; reprinted in: Collected Papers, Vol. 1, No 59, 370-374, Cambridge University Press, 1889.
3. A. DIMCA, Milnor numbers and multiplicities of dual varieties, Rev. Roumaine Math. Pures Appl., 31 (1986), 535-538.
4. W. FULTON, J. HARRIS, Representation Theory, Graduate Texts in Mathematics, No 129, Springer-Verlag, 1991.
5. I.M. GELFAND, M.M. KAPRANOV, A.V. ZELEVINSKY, Hyperdeterminants, Adv. in Math., 96 (1992), 226-263.
6. I.M. GELFAND, M.M. KAPRANOV, A.V. ZELEVINSKY, Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, Boston, 1994.
7. M.M. KAPRANOV, B. STURMFELS, A.V. ZELEVINSKY, Chow polytopes and general resultants, Duke Math. J., 67, No 1 (1992), 189-218.
8. N. KATZ, Pinceaux de Lefschetz; Théorème d'existence, in: SGA 7, Lecture Notes in Math., vol. 340, 212-253.
9. S. KLEIMAN, Enumerative theory of singularities, in: Real and complex singularities (Proc. Ninth Nordic Summer School / NAVF Sympos. Math., Oslo, 1976), 297-396.
10. I. MACDONALD, Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979.
11. A. PARUSIŃSKI, Multiplicity of the dual variety, Bull. London Math. Soc., 23 (1991), 429-436.
12. L. SCHLÄFLI, Über die Resultante eines Systems mehrerer algebraischer Gleichungen, Denkschr. der Kaiserl. Akad. Wiss., Math-Naturwiss. Klasse, 4(1852), reprinted in: Gessamelte Abhandlungen, vol.2, No 9, p. 9-112, Birkhäuser-Verlag, Basel, 1953.
13. L. SCHLÄFLI, Über die Resultante eines Systems mehrerer algebraischer Gleichungen, Denkschr. der Kaiserl. Akad. Wiss., Math-Naturwiss. Klasse, 4(1852), reprinted in: Gessamelte Abhandlungen, vol.2, No 9, p. 9-112, Birkhäuser-Verlag, Basel, 1953.
14. J. WEYMAN, Calculating discriminants by higher direct images, Trans. AMS, 343, No 1 (1994), 367-389.
15. J. WEYMAN, A.V. ZELEVINSKY, Multiplicative properties of projectively dual varieties, Manuscripta Math., 82 (1994), 139-148.