Algebraic Geometry Seminar | Junyao Peng (Princeton)

Title: Asymptotics of stability thresholds

Abstract: We study asymptotic behavior of the stability thresholds of a big line bundle, and prove explicit bounds on the error terms. This answers Jin-Rubinstein-Tian’s questions affirmatively. A key step in our proof is to show that the stability thresholds of a big line bundle can always be computed by quasi-monomial valuations. This generalizes Blum– Jonsson’s result on the stability thresholds of an ample line bundle.

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