Complements, index theorem, and minimal log discrepancies of foliated surface singularities
From MaRDI portal
Publication:6145006
DOI10.1007/S40879-023-00719-9arXiv2305.06493OpenAlexW4390674023MaRDI QIDQ6145006
Author name not available (Why is that?)
Publication date: 30 January 2024
Published in: (Search for Journal in Brave)
Abstract: We present an extension of several results on pairs and varieties to foliated surface pairs. We prove the boundedness of local complements, the local index theorem, and the uniform boundedness of minimal log discrepancies (mlds), as well as establishing the existence of uniform rational lc polytopes. Furthermore, we address two questions posed by P. Cascini and C. Spicer on foliations, providing negative responses. We also demonstrate that the Grauert-Riemenschneider type vanishing theorem generally fails for lc foliations on surfaces. In addition, we determine the set of minimal log discrepancies for foliated surface pairs with specific coefficients, which leads to the recovery of Y.-A. Chen's proof on the ascending chain condition conjecture for mlds for foliated surfaces.
Full work available at URL: https://arxiv.org/abs/2305.06493
No records found.
No records found.
This page was built for publication: Complements, index theorem, and minimal log discrepancies of foliated surface singularities
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6145006)
