Invariant equations defining coincident root loci

Archiv der Mathematik

Volumn 83, Issue 5, 2004, Pages 422-428

  Chipalkatti, Jaydeep V ^a,b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11944257002     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-004-1191-z     Document Type: Article

References (13)

1. A. CAYLEY, A memoir on the conditions for the existence of given systems of equalities among the roots of an equation. Philos. Trans. Roy. Soc. London cxlvii, 727-731 (1857). Reprinted in Volume II of his Collected Mathematical Papers. Cambridge 1889.
2. A. CAYLEY, A memoir on the conditions for the existence of given systems of equalities among the roots of an equation. Philos. Trans. Roy. Soc. London cxlvii, 727-731 (1857). Reprinted in Volume II of his Collected Mathematical Papers. Cambridge 1889.
3. J. CHIPALKATTI, On equations defining coincident root loci. J. Algebra 267, no. 1, 246-271 (2003).
4. E. B. ELLIOTT, The Algebra of Qualities, 1913. Reprinted by Chelsea, New York.
5. L. EULER, Nouvelle methode d'eliminer, etc. No. 310 in Commentationes Algebraicae, Opera Omnia, Series Prima, Vol. VI, Leipzig and Berlin 1921.
6. O. GLENN, The Theory of Invariants. Boston 1915. (Available as an c-Book from Project Gutenberg at www.gutenberg.net).
7. P. GORDAN and M. NOETHER, Über die algebraischen Formen, deren Hesse'sche Determinante identisch verschwindet. Math. Ann. Vol. 10, 547-568 (1876).
8. O. HESSE, Ueber die Bedingung, unter welcher eine homogene ganze Function, uzw. No. 21 in Gesammelte Werke. Reprinted by Chelsea, New York.
9. J. P. S. KUNG and G.-C. ROTA, The invariant theory of binary forms. Bull. Amer. Math. Soc. 10, no. 1, 27-85 (1984).
10. P. OLVER, Classical Invariant Theory. London Math. Soc. Student Texts. Cambridge 1999.
11. B. STURMFELS, Algorithms in Invariant Theory. Wien-New York 1993.
12. B. STURMFELS, Solving algebraic equations in terms of A-hypergeometric series. Discrete Math. 210, nos. 1-3, 171-181 (2000).
13. J. J. SYLVESTER, Collected Mathematical Papers. Cambridge 1904.