Department of Mathematics
Colloquium
by
Prof. Lawrence Ein

Linear system has always played a central role in the study of algebraic varieties. We are interested in what kind of linear systems will map a variety into a projective space. We would like to learn about the geometry of the variety from the properties of the linear systems and the equations defining the varieties. In recent years, new methods from vector bundles and vanishing theorems have provided better understanding to some of these questions.

Additional References:

1. L. Ein, Adjoint linear systems, Current Topics in Complex Algebraic Geometry, (H. Clemens and J. Kollar ed.), Cambridge University Press, 1995 p
2. R. Lazarsfeld, Lectures on linear series, Complex Algebraic Geometry, J. Kollar (ed.), IAS/Park City Mathematical Series Vol.3, AMS, 1997, pp.163-219.