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Weyl and Zariski chambers on K3 surfaces

  • Thomas Bauer EMAIL logo und Michael Funke
Veröffentlicht/Copyright: 1. Mai 2012
Forum Mathematicum
Aus der Zeitschrift Band 24 Heft 3

Abstract.

The big cone of every K3 surface admits two natural chamber decompositions: the decomposition into Zariski chambers, and the decomposition into simple Weyl chambers. In the present paper we compare these two decompositions and we study their mutual relationship: First, we give a numerical criterion for the two decompositions to coincide. Secondly, we study the mutual inclusions of Zariski and simple Weyl chambers. Finally, we establish the fact that – even though the decompositions themselves may differ – the number of Zariski chambers always equals the number of simple Weyl chambers.

Received: 2009-12-21
Published Online: 2012-05-01
Published in Print: 2012-May

© 2012 by Walter de Gruyter Berlin Boston

Heruntergeladen am 22.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/form.2011.076/html?lang=de
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