August 9, 2024Open Access

K-semistability of log Fano cone singularities

Puntos clave

Los puntos clave no están disponibles para este artículo en este momento.

Resumen

We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Sz\'ekelyhidi. As an application, we show that to test K-semistability, it suffices to test special test configurations. We also show that special test configurations give rise to lc places of torus equivariant bounded complements.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo

Cite This Study

Liu et al. (Fri,) studied this question.

synapsesocial.com/papers/68e5cfe5b6db643587565c2e https://doi.org/https://doi.org/10.48550/arxiv.2408.05189

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Boundedness of log Fano cone singularities and discreteness of local volumes2024 · 1 citations
2Boundedness of Log Fano Pairs with Certain K-stability2024 · 1 citations
3Finiteness of K-moduli compactifications2025
4Stable degeneration of families of klt singularities with constant local volume2025
5A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations2024 · 9 citations

Me gusta

Guardar

Ver artículo completo