NORTHEASTERNUNIVERSITY
MATHEMATICSDEPARTMENT


Geometry-Algebra-Singularities-Combinatorics 
Seminar

 
Curves with prescribed singularities on algebraic
surfaces

 

Ilya Tyomkin

(Tel-Aviv University)



 
 
 
 
 
 

Northeastern University

511 Lake Hall

1:30 p.m., Monday, January 7, 2002

 
 
 

Abstract: We will consider the following question:
    Given an algebraic pojective surface S, linear system |D|\in Pic(S) and topological types
    of isolated singularities S_1...S_r is there exist an irreducible reduced curve C\in |D| having exactly
    r singular points of types S_1...S_r?
In our talk we will give a sufficient numerical condition (on |D|, µ(S_i)) for existence of such a curve. And we will consider some examples of surfaces where this condition become easily checkable.
(Joint work with Thomas Keilen from Kaiserslautern)
Home Web page: Alexandru I. Suciu Created: January 2, 2002
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