K3表面上的Weyl和Zebriki腔
Weyl and Zariski chambers on K3 surfaces
摘要:
每个K3曲面的大锥允许两个自然腔室分解:分解成Zebrski腔室和分解成简单的Weyl腔室。本文对这两种分解进行了比较,并研究了它们之间的相互关系:首先,给出了两种分解重合的数值判据。其次,我们研究了Zebraki腔和简单Weyl腔的相互包含。最后,我们确定了这样一个事实,即即使分解本身可能不同,但Zagliki室的数量总是等于简单Weyl室的数量。
英文摘要:
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.
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