Boundedness of minimal partial du Val resolutions of canonical surface foliations

Abstract

In this paper, we prove the boundedness of foliated surfaces $(X,\mathcal{F})$ which are minimal partial du Val resolutions of canonical models $(X_c,{\mathcal{F}}_c)$ of general type. For applications, we show the boundedness of non-cusp singularities on canonical models of foliated surfaces of general type and the effective generation on the complement of the cusp singularities.

14 pages. Final version

Cited by in corpus (2)

• On global ACC for foliated threefolds
• Effective generation for foliated surfaces: results and applications