Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-23T23:33:52.299Z Has data issue: false hasContentIssue false

Counting the number of basic invariants for GGL(2, k) Acting on k[X, Y]

Published online by Cambridge University Press:  22 January 2016

Junzo Watanabe*
Affiliation:
Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The notations used in this paper without explicit mention are listed below. Here R is a positively graded Noetherian ring, a a homogeneous ideal of R, and f, g, …, h are homogeneous elements of R.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

[ 1 ] Buchsbaum, D. A. and Eisenbud, D., What makes a complex exact?, J. of Alg., 25, No. 2 (1973), 259268.Google Scholar
[ 2 ] Fogarty, J., Invariant theory, Benjamin, New York, 1969.Google Scholar
[ 3 ] Hochster, M., Cohen-Macaulay rings, combinatorics, and simplicial complexes, Ring theory II, Lecture notes in pure and app. math., 26, Dekke (1977), 171223.Google Scholar
[ 4 ] Mumford, D., Geometric invariant theory, Springer, New York, 1965.Google Scholar
[ 5 ] Peskine, C. and Szpiro, L., Dimension projective finie et cohomologie local, Publ. Math. I.H.E.S. No. 42, Paris, 1973.Google Scholar
[ 6 ] Peskine, C. and Szpiro, L., Liaison des variétés algébriques I, Invent. Math., 26 (1974), 271302.Google Scholar
[ 7 ] Riemenschneider, O., Die Invarianten der endlichen Untergruppen von GL(2,C), Math. Z., 153 (1977), 3750.CrossRefGoogle Scholar
[ 8 ] Springer, T. A., Invariant theory, Springer Lect. Notes 585, 1977.Google Scholar
[ 9 ] Tanimoto, H., Monomial ideals and invariant subrings, Master thesis, Nagoya Univ. 1980 (in Japanese, unpublished).Google Scholar