Zariski chambers, volumes, and stable base loci

By Thomas Bauer, Alex Kuronya, Tomasz Szemberg. 2003

89 citations recorded by the source corpus.

The purpose of this paper is to investigate the behaviour of certain asymptotic invariants of line bundles on projective surfaces. In particular, we describe the volume of line bundles and their destabilizing numbers.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/49d79d44e72a7802f38e8a1cf285c2b1cb1a0b79

How researchers see this paper

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In Geometry and Topology

1. M. Mustaţă
2. Alex Kuronya
3. R. Lazarsfeld
4. Mattias Jonsson
5. Chi Li
6. Kiumars Kaveh
7. Steven Dale Cutkosky
8. Tommaso de Fernex

In Mathematical Physics

1. M. Mustaţă
2. R. Lazarsfeld
3. Alex Kuronya
4. S. Ishii
5. Tommaso de Fernex
6. L. Ein
7. S. Boucksom
8. H. Blum

Citations in the corpus

• Convex Bodies Associated to Linear Series (2008, background): “For a proof and details, see [3] or [17, Example 3.”
• Asymptotic cohomological functions on projective varieties (2005, background): “Although a short exact sequence of sheaves does not give rise to anything similar to a long exact sequence for the asymptotic cohomological functions, one typical usage of the cohomology long exact sequence can to some extent be simulated.”