ODTÜ-BİLKENT ALGEBRAIC GEOMETRY SEMINAR

 

 

Projective Toric Varieties

 

 

By

 

MESUT ŞAHİN

(KARATEKİN UNIVERSITY)

 

 

 

 

 

Abstract:  We start with the definition of normal, very ample and smooth polytopes. We next define the projective toric variety X_A determined by a finite set A of lattice points. When A is the lattice points of a polytope P we demonstrate that X_A reflects the properties of P best if P is very ample. We also define the normal fan of P and discuss the relation betwen the corresponding "abstract" varieties X_P and X_A.

 

 

 

 

Date:  Friday, December  6, 2013

Time: 15.40

Place: Mathematics Seminar Room, SA-141

 

 

 

 

Tea and cookies will be served before the seminar.