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Symmetric Surfaces with Many Singularities#.
- Source :
-
Communications in Algebra . Oct2004, Vol. 32 Issue 10, p3745-3770. 26p. - Publication Year :
- 2004
-
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 [Popf]3 which we started in Sarti [Sarti, A. (2000). Pencils of symmetric surfaces in [Popf]3(C). J. Algebra 246:429–452]. It turns out that we have five more pencils, two of them containing surfaces with nodes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL singularities
*ALGEBRAIC geometry
*POLYNOMIALS
*EQUATIONS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 32
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 14806818
- Full Text :
- https://doi.org/10.1081/AGB-200027704