论文信息 - The moduli space of cubic threefolds

The moduli space of cubic threefolds

We describe the moduli space of cubic hypersurfaces in CP 4 in the sense of geometric invariant theory. That is, we characterize the stable and semistable hypersurfaces in terms of their singularities, and determine the equivalence classes of semistable hypersurfaces under the equivalence relation of their orbit-closures meeting.

Daniel Allcock | D. Allcock

[1] D. Hilbert. Ueber die vollen Invariantensysteme , .

[2] D. Mumford,et al. Geometric Invariant Theory , 2011 .

[3] J. M. Boardman,et al. Singularties of differentiable maps , 1967 .

[4] D. Birkes,et al. Orbits on Linear Algebraic Groups , 1971 .

[5] P. Newstead. Lectures on Introduction to Moduli Problems and Orbit Spaces , 1979 .

[6] C. Wall,et al. On the Classification of Cubic Surfaces , 1979 .

[7] J. Shah. A Complete Moduli Space for K3 Surfaces of Degree 2 , 1980 .

[8] R. Miranda. On the Stability of Pencils of Cubic Curves , 1980 .

[9] J. Shah. Degenerations of $K3$ surfaces of degree $4$ , 1981 .

[10] A. Collino. The fundamental group of the Fano surface, II , 1982 .

[11] Stability of pencils of quadrics in P(Sup 4) , 1999 .

[13] Tommy Färnqvist. Number Theory Meets Cache Locality – Efficient Implementation of a Small Prime FFT for the GNU Multiple Precision Arithmetic Library , 2005 .