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Published online: 2011-05-21
Mini-Workshop: Linear Series on Algebraic VarietiesThomas Bauer, Sandra Di Rocco, Brian Harbourne and Tomasz Szemberg (1) Philipps-Universität, Marburg, Germany
(2) Royal Institute of Technology, Stockholm, Sweden
(3) University of Nebraska-Lincoln, USA
(4) Krakow Pedagogical Academy, Kraków, Poland
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.
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Bauer Thomas, Di Rocco Sandra, Harbourne Brian, Szemberg Tomasz: Mini-Workshop: Linear Series on Algebraic Varieties. Oberwolfach Rep. 7 (2010), 2613-2650. doi: 10.4171/OWR/2010/45