A stratification of the space of cubic surfaces

DOI10.1017/S0305004100056863zbMath0434.58009OpenAlexW2108210062MaRDI QIDQ3873217

J. W. Bruce

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100056863

zbMATH Keywords

classification of cubic surfaces by the number and nature of their singularitiespartition of the vector space of cubic surfacesstratification of the space of cubic surfacesWhitney (A) regularWhitney (B) regularity

Mathematics Subject Classification ID

Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Stratified sets (58A35)

Related Items (6)

The complex hyperbolic geometry of the moduli space of cubic surfaces ⋮ Unnamed Item ⋮ Reconstructions of fronts and caustics depending on a parameter and versality of mappings ⋮ On complex projective hypersurfaces ⋮ Topological triviality of versal unfoldings of complete intersections ⋮ Degree of strata of singular cubic surfaces

Cites Work

• Decomposition of simple singularities of functions
• On the semi-universal deformation of a simple-elliptic hypersurface singularity. I: Unimodularity
• On the versal deformation of a complex space with an isolated singularity
• NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS
• Regularity of the Segre stratification
• On the Classification of Cubic Surfaces
• Stratifying jet spaces – some special cases

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