Woodcock, Chris F.
(2009)
*
The ring of reciprocal polynomials and rank varieties.
*
Bulletin of the London Mathematical Society,
41
(4).
pp. 654-662.
ISSN 0024-6093.
(doi:10.1112/blms/bdp038)
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Official URL http://dx.doi.org/10.1112/blms/bdp038 |

## Abstract

Let p be a prime and let G be a finite p-group. In a recent paper we introduced a commutative graded Z-algebra R-G (which classifies the so-called convolutions on G). Now let K be an algebraically closed field of characteristic p and let M be a non-zero finitely generated K[G]-module. A general rank variety W-G(M) is constructed quite explicitly as a determinantal subvariety of the variety of K-valued points of the spectrum of R-G. Further, it is shown that the quotient variety W-G(M)/G is inseparably isogenous to the usual cohomological support variety V-G(M).

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Chris F Woodcock |

Date Deposited: | 02 Nov 2009 16:04 |

Last Modified: | 23 May 2014 08:50 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/23169 (The current URI for this page, for reference purposes) |

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