The fundamental group of compact algebraic curve above complex numbers

Abstract: It is well known that fundamental curves above complex numbers have 2g generators where g is the genus of the curve with one non trivial relation that is the commutation relation. Surprisingly I haven’t found a proof of this well known fact in the literature. In this talk I will attempt to fill in the gap and show how this can be shown in a straightforward matter.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars