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arXiv · 1903.00652

Examples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups

Atsushi Ito
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Abstract

It is known that the automorphism group of a K-polystable Fano manifold is reductive. Codogni and Dervan construct a canonical filtration of the section ring, called Loewy filtration, and conjecture that the Loewy filtration destabilizes any Fano variety with non-reductive automorphism group. In this note, we give a counterexample to their conjecture.

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Atsushi Ito. 2019-03-02. Examples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups. https://arxiv.org/abs/1903.00652

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