6533b832fe1ef96bd129aca9
RESEARCH PRODUCT
Symmetric Surfaces with Many Singularities
Alessandra Sartisubject
AlgebraPure mathematicsAlgebra and Number TheoryDimension (vector space)Heisenberg groupGravitational singularityAlgebra over a fieldSpace (mathematics)Mathematicsdescription
Abstract Let G ⊂ SO(4) denote a finite subgroup containing the Heisenberg group. In this paper we classify all such 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 ℙ3 which we started in Sarti [Sarti, A. (2000). Pencils of symmetric surfaces in ℙ3(C). J. Algebra 246:429–452]. It turns out that we have five more pencils, two of them containing surfaces with nodes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-12-31 | Communications in Algebra |