Affine cones over smooth cubic surfaces
Ivan Cheltsov, Jihun Park, Joonyeong Won
TL;DR
This paper proves that affine cones over smooth cubic surfaces cannot have non-trivial additive group actions, highlighting a specific rigidity property of these geometric objects.
Contribution
It establishes a new rigidity result for affine cones over smooth cubic surfaces, showing they admit no non-trivial -actions, which was previously unknown.
Findings
Affine cones over smooth cubic surfaces lack non-trivial -actions
The result reveals rigidity properties of these cones
Supports understanding of automorphism groups of algebraic varieties
Abstract
We show that affine cones over smooth cubic surfaces do not admit non-trivial -actions.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory