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Classification of Linear Weighted Graphs Up to Blowing-Up and Blowing-Down

Published:2008-02-01
Printed: Feb 2008
• Daniel Daigle
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Abstract

We classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces.
 Keywords: weighted graph, dual graph, blowing-up, algebraic surface
 MSC Classifications: 14J26 - Rational and ruled surfaces 14E07 - Birational automorphisms, Cremona group and generalizations 14R05 - Classification of affine varieties 05C99 - None of the above, but in this section