Polynomial Invariants of the Heisenberg Group with extra Symmetries

dc.creatorSarti, Alessandra
dc.date2003-03-28
dc.date.accessioned2026-07-07T04:56:28Z
dc.date.available2026-07-07T04:56:28Z
dc.descriptionLet $G\subset SO(4)$ denote a finite subgroup containing the Heisenberg group. In these notes we classify all these groups, we find the dimension of the spaces of $G$-invariant polynomials and we give equations for the generators whenever the space has dimension two. Then we complete the study of the corresponding $G$-invariant pencils of surfaces in $\mathbb{P}_3$ which we started in math. AG/0106080. It turns out that we have five more pencils, two of them containing surfaces with nodes.
dc.description29 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0303364
dc.identifierhttp://arxiv.org/abs/math/0303364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66932
dc.subjectAlgebraic Geometry
dc.titlePolynomial Invariants of the Heisenberg Group with extra Symmetries
dc.typetext

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