Number of Singular Points on Projective Surfaces

Citation:

Jihao LIU,Lingyao XIE.Number of Singular Points on Projective Surfaces[J].Chinese Annals of Mathematics B,2025,46(5):713~724
Page view: 170        Net amount: 103

Authors:

Jihao LIU; Lingyao XIE

Foundation:

the National Key R&D Program of China (No. 2024YFA1014400), the NSF Research Grants (Nos. DMS-1801851, DMS-1952522) and the Grant from Simons Foundation (No. 256202)
Abstract: The number of singular points on a klt Fano surface X is less than or equal to 2ρ(X) + 2.

Keywords:

Singular points  Fano variety  Canonical bundle formula

Classification:

14E30, 14B05
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