||This course will give an introduction to the study of algebraic curves and abelian varieties. One focus will be on the relation between the geometry of a curve and its associated Jacobian variety. To this end, we will study the theory of linear series on a fixed curve, and in particular the varieties parameterizing these linear series. We will also give a brief introduction to the study of abelian varieties in order to consider the Torelli theorem, the Schottky problem, and more generally, the geometry of theta divisors. A prerequisite for the course is a one year introduction to algebraic geometry.|
11:30AM-1:00PM, Science Center 112
(Harvard Academic Calendar)
Science Center 334
will be weekly homework assignments, posted on
A weekly section will be led by the TA Maksym Fedorchuk Thursdays 4:00-5:00, Science Center 232.
syllabus is a rough guide to topics
we will cover.