Serre dimension and stability conditions

نویسندگان

چکیده

We study relations between the Serre dimension defined as growth of entropy functor and global Bridgeland stability conditions due to Ikeda–Qiu. A fundamental inequality infimum dimensions is proved. Moreover, we characterize Gepner type on fractional Calabi–Yau categories via dimension, classify triangulated lower than one with a condition.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2021

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-021-02718-6