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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Finite linear groups whose ring of invariants is a complete intersection


Authors: Victor Kac and Kei-ichi Watanabe
Journal: Bull. Amer. Math. Soc. 6 (1982), 221-223
MSC (1980): Primary 14D25; Secondary 14L30
MathSciNet review: 640951
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References [Enhancements On Off] (What's this?)

  • 1. Revêtements étales et groupe fondamental, Springer-Verlag, Berlin-New York, 1971 (French). Séminaire de Géométrie Algébrique du Bois Marie 1960–1961 (SGA 1); Dirigé par Alexandre Grothendieck. Augmenté de deux exposés de M. Raynaud; Lecture Notes in Mathematics, Vol. 224. MR 0354651 (50 #7129)
  • 2. Alexander Grothendieck, Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (𝑆𝐺𝐴 2), North-Holland Publishing Co., Amsterdam; Masson & Cie, Éditeur, Paris, 1968 (French). Augmenté d’un exposé par Michèle Raynaud; Séminaire de Géométrie Algébrique du Bois-Marie, 1962; Advanced Studies in Pure Mathematics, Vol. 2. MR 0476737 (57 #16294)
  • 3. Claude Chevalley, Invariants of finite groups generated by reflections, Amer. J. Math. 77 (1955), 778–782. MR 0072877 (17,345d)
  • 4. M. Goresky, Letter to the first author, June 1981.
  • 5. G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canadian J. Math. 6 (1954), 274–304. MR 0059914 (15,600b)
  • 6. Keiichi Watanabe, Invariant subrings which are complete intersections. I. Invariant subrings of finite abelian groups, Nagoya Math. J. 77 (1980), 89–98. MR 556310 (82d:13020)
  • 7. K.-i. Watanabe and D. Rotillon, Invariant subrings of C[X, Y, Z] which are complete intersections (in preparation).

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1982-14989-8
PII: S 0273-0979(1982)14989-8