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

  Published:2008-02-01
 Printed: Feb 2008
Canadian Journal of Mathematics
  • 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 weighted graph, dual graph, blowing-up, algebraic surface
MSC Classifications: 14J26, 14E07, 14R05, 05C99 show english descriptions Rational and ruled surfaces
Birational automorphisms, Cremona group and generalizations
Classification of affine varieties
None of the above, but in this section 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
 
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