A note on Kollár valuations
Abstract
We prove the set of Kollár valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one dimensional.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2406.00228
- arXiv:
- arXiv:2406.00228
- Bibcode:
- 2024arXiv240600228L
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Commutative Algebra
- E-Print:
- 9 pages, comments welcome. To appear in SCIENCE CHINA Mathematics, special issue in memory of Professor Gang Xiao