NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
Geometry-Algebra-Singularities-Combinatorics 
Seminar
 
 
Evolution of a Conjecture of Nagata 
 
 

Brian Harbourne

(University of Nebraska)
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Monday, November 22, 1999

 
 
Abstract:  In connection to his 1959 counterexample to finite generation of rings of invariants, Nagata conjectured that a polynomial in two variables of degree d having multiplicity at least m at r > 9 general points must satisfy d^2 > m^2r. I will discuss some recent results, and some refinements of this conjecture related to resolutions of fat point ideals.
 
Home Web page:  Alexandru I. Suciu  Created: November 4, 1999   
Maintained by:  Hal Schenck  URL: http://www.math.neu.edu/~GASC/gas/harbourne.html