Recent developments and open problems in linear series

Abstract

In the week 3--9, October 2010, the Mathematisches Forschungsinstitut at Oberwolfach hosted a mini workshop Linear Series on Algebraic Varieties. These notes contain a variety of interesting problems which motivated the participants prior to the event, and examples, results and further problems which grew out of discussions during and shortly after the workshop. A lot of arguments presented here are scattered in the literature or constitute folklore. It was one of our aims to have a usable and easily accessible collection of examples and results.

fixed typos, grants information added, submitted, v.3. some linguistic corections, final version accepted for publication in "Contributions to Algebraic Geometry", Impanga Lecture Notes