NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
Geometry-Algebra-Singularities-Combinatorics 
Seminar
 
 
Rational Trees 
 
 

LÊ DUNG TRÁNG

(Université de Provence)
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Tuesday, January 18, 2000

 
 
Abstract: A normal surface singularity is rational if and only if the dual graph of a desingularization satisfies some combinatorial properties. In fact, these graphs are trees. In this paper we give geometric features of these trees. In particular, we prove that the number of vertices of valency >= 3 in the dual tree of the minimal desingularization of a rational singularity of multiplicity m >= 3 is at most m-2.  
 
Home Web page:  Alexandru I. Suciu  Created: January 3, 2000   
Maintained by:  Hal Schenck  URL: http://www.math.neu.edu/~GASC/gas/le.html