**ODTÜ-B****İ****LKENT ALGEBRAIC GEOMETRY SEM****I****NAR**

# “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.

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**Date: ****Friday,
December 6, 2013**

**Time: ****15.40**

**Place: ****Mathematics
Seminar Room, SA-141**

Tea and cookies will be served before the
seminar.