Complex Algebraic Geometry

1 Course Unit

Algebraic geometry over the complex numbers, using ideas from topology, complex variable theory, and differential geometry. Topics include: Complex algebraic varieties, cohomology theories, line bundles, vanishing theorems, Riemann surfaces, Abel's theorem, linear systems, complex tori and abelian varieties, Jacobian varieties, currents, algebraic surfaces, adjunction formula, rational surfaces, residues. Not Offered Every Year Prerequisite: MATH 6020 AND MATH 6030 AND MATH 6090 1 Course Unit