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Weyl and Zariski chambers on K3 surfaces
-
Thomas Bauer
and
Michael Funke
Published/Copyright:
May 1, 2012
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
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Articles in the same Issue
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
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- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity
