BLOWN-UP BOUNDARIES ASSOCIATED WITH AMPLE CONES OF K3 SURFACES
Abstract In this article, we apply the Bestvina–Mess type formula for relatively hyperbolic groups, which is established by Tomohiro Fukaya, to automorphism groups of K3 surfaces, and we show that the virtual cohomological dimension of automorphism groups of K3 surfaces is determined by the covering dimension of the blown-up boundaries associated with their ample cones.
Authors
- Taiki Takatsu (ORCID: https://orcid.org/0000-0001-8911-0617)
Institutions
- Tokyo University of Science (JP)
Publication Details
- Journal
- Nagoya Mathematical Journal
- Published
- 2025-09-23
- DOI
- https://doi.org/10.1017/nmj.2025.10082
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00