Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-24T14:09:23.137Z Has data issue: false hasContentIssue false

Notes on Diagonal Coinvariants of the Dihedral Group

Published online by Cambridge University Press:  20 November 2018

Mats Boij
Affiliation:
Department of Mathematics, KTH, 100 44 Stockholm, Sweden e-mail: [email protected]
Anthony Geramita
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, ON, and Dipartimento di Matematica, University of Genova, Genova, Italia e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

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 bigraded Hilbert function and the minimal free resolutions for the diagonal coinvariants of the dihedral groups are exhibited, as well as for all their bigraded invariant Gorenstein quotients.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2010

References

[CoC] CoCoATeam, CoCoA : a system for doing Computations in Commutative Algebra. Available at http://cocoa.dima.unige.it.Google Scholar
[GS] Grayson, D. R. and Stillman, M. E., Macaulay 2, a software system for research in algebraic geometry. Available at http://www.math.uiuc.edu/Macaulay2/.Google Scholar
[Hai94] Haiman, M. D., Conjectures on the quotient ring by diagonal invariants. J. Algebraic Combin. 3(1994), no. 1, 1776. doi:10.1023/A:1022450120589Google Scholar
[Hai01] Haiman, M. D., Hilbert schemes, polygraphs and the Macdonald positivity conjecture. J. Amer. Math. Soc. 14(2001), no. 4, 9411006. doi:10.1090/S0894-0347-01-00373-3Google Scholar