BooksecrCollected Volumepp. 93–140

Recent developments and open problems in linear series

  • Thomas Bauer

    Philipps-Universität, Marburg, Germany

  • Cristiano Bocci

    Università di Siena, Italy

  • Susan Cooper

    University of Nebraska, Lincoln, USA

  • Sandra Di Rocco

    Royal Institute of Technology, Stockholm, Sweden

  • Marcin Dumnicki

    Jagiellonian University, Krakow, Poland

  • Brian Harbourne

    University of Nebraska, Lincoln, USA

  • Alex Küronya

    Budapest University of Technology & Economics, Hungary

  • Anders Lindquist

    Royal Institute of Technology, Stockholm, Sweden

  • Rick Miranda

    Colorado State University, Fort Collins, United States

  • Hans Z. Munthe-Kaas

    University of Bergen, Norway

  • Joaquim Roé

    Universitat Autònoma de Barcelona, Bellaterra, Spain

  • Henry K. Schenck

    University of Illinois, Urbana, United States

  • Tomasz Szemberg

    Krakow Pedagogical Academy, Krakow, Poland

  • Zach Teitler

    Boise State University, USA
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Abstract

This article presents problems discussed during the Mini-Workshop Linear Series on Algebraic Varieties held in the week of October 3–9, 2010, at the Mathematisches Forschungsinstitut at Oberwolfach, as well as results obtained there and shortly after the Workshop.

The discussion revolves mainly around the speciality and the postulation problems as well as the containment problems for various powers of ideals. The main motivations originated in the Harbourne-Hirschowitz, Nagata and the Bounded Negativity Conjectures.