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Understanding Geometry of smooth Cubic Surface
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Classroom Contents
Extremal Singularities
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- 1 Intro
- 2 Hypersurface Singularities
- 3 Properties of the singularity index at point 0 € V()
- 4 Is there a smallest possible singularity index?
- 5 "Worst" singularity on an irreducible hypersurface?
- 6 Cone Singularities and Homogeneous Polynomials Let & be a homogeneous polynomial of degree (in n variables).
- 7 Example: Cubic cones of dimension two
- 8 Extremal singularities occur ONLY in characteristic p 0.
- 9 Classification of Extremal Singularities
- 10 Geometry of extremal singularities?
- 11 Understanding Geometry of smooth Cubic Surface
- 12 Triangles on cubic surfaces
- 13 When is the cone over cubic surface extremal singularity?
- 14 A similar phenomenon happens in every degreed
