Work

Boundedness of Log Fano Pairs with Certain K-stability

Year: 2024

Type: article

Abstract: We prove several boundedness results for log Fano pairs with certain K-stability. In particular, we prove that K-semistable log Fano pairs of Maeda type in each dimension form a log bounded family. We also compute K-semistable domains for some examples.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae202

Authors: Konstantin Loginov, Chuyu Zhou

Institutions: Russian Academy of Sciences, Steklov Mathematical Institute, Yonsei University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Russian Science Foundation, H2020 European Research Council

Awards: G515779496, G6541219940