Super-rigid Affine Fano Varieties
Ivan Cheltsov, Adrien Dubouloz, Jihun Park
TL;DR
This paper introduces the concept of super-rigidity for affine Fano varieties, providing a framework for classifying their rigidity properties and presenting numerous examples and counterexamples.
Contribution
It defines super-rigidity for affine Fano varieties and offers a comprehensive set of examples and non-examples, expanding the understanding of their geometric properties.
Findings
Identification of conditions for super-rigidity in affine Fano varieties
Construction of multiple examples of super-rigid affine Fano varieties
Presentation of non-examples to delineate the boundaries of super-rigidity
Abstract
We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.
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