JournalsowrVol. 7 , No. 4DOI 10.4171/owr/2010/45

Mini-Workshop: Linear Series on Algebraic Varieties

  • Thomas Bauer

    Philipps-Universität, Marburg, Germany
  • Sandra Di Rocco

    Royal Institute of Technology, Stockholm, Sweden
  • Brian Harbourne

    University of Nebraska-Lincoln, USA
  • Tomasz Szemberg

    Krakow Pedagogical Academy, Kraków, Poland
Mini-Workshop: Linear Series on Algebraic Varieties cover

A subscription is required to access this article.

Abstract

Linear series have long played a central role in algebraic geometry. In recent years, starting with seminal papers by Demailly and Ein-Lazarsfeld, local properties of linear series – in particular local positivity, as measured by Seshadri constants – have come into focus. Interestingly, in their multi-point version they are closely related to the famous Nagata conjecture on plane curves. While a number of important basic results are available by now, there are still a large number of open questions and even completely open lines of research.