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Notes on Diagonal Coinvariants of the Dihedral Group

Published online by Cambridge University Press:  20 November 2018

Mats Boij  and
Anthony Geramita
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]
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Abstract

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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

13D0220C3320F55
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 602 - 613
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, 17–76. 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, 941–1006. doi:10.1090/S0894-0347-01-00373-3Google Scholar