# Functions of a Complex Variable 2

**MATH 6360 Fall 2019**

## Course description

Complex algebraic geometry. Prerequisites: MATH 6350 (Functions of a Complex Variable 1).

Students are strongly encouraged to take Zheng Zhang's course MATH 8174 Topics in Algebra, which will be covering K3 surfaces.

## Schedule

MWF 1:00 PM -- 1:50 PM, MATH 220

University of Colorado Academic Calendar

## Office hours

Friday 11:00 AM -- 12:50 PM or by appointment

## Textbook

- D. Huybrechts,
*Complex Geometry: an introduction*, Springer 2005, available in .pdf for free from the library. - P. Griffiths and J. Harris,
*Principles of Algebraic Geometry*, Wiley 1978. - C. Voisin,
*Hodge Theory and Complex Algebraic Geometry, I*, Cambridge 2002. - R. Wells,
*Differential Analysis on Complex Manifolds*(Third Edition), Springer 2008. - D. Arapura,
*Algebraic Geometry over the Complex Numbers*, Springer 2012. - R. Gunning and H. Rossi,
*Analytic Functions of Several Complex Variables*, Prentice--Hall 1965. - A. Browder,
*Mathematical Analysis: an introduction*, Springer 1996. - P. Aluffi,
*Algebra: chapter 0**,*Graduate Studies in Math., AMS, 2009. - R. Bott and L. Tu,
*Differential Forms in Algebraic Topology*, Springer, 1982. - R. Miranda,
*Algebraic curves and Riemann surfaces*, Graduate Studies in Math., AMS, 1995.

Our treatment may also follow parts of:

We wil also use the following as a references occasionally:

## Grading

Grades will be based on homework, projects, and exams.