A primer on Seshadri constants
2009 (English)In: INTERACTIONS OF CLASSICAL AND NUMERICAL ALGEBRAIC GEOMETRY , Providence, RI: American Mathematical Society (AMS), 2009, Vol. 496, 33-70 p.Conference paper (Refereed)
Seshadri constants express the so called local positivity of a line bundle on a projective variety. They were introduced in [Dem92] by Demailly. The original hope of using them towards a proof of the Fujita conjecture was too optimistic, but it soon became clear that they are interesting invariants quite in their own right. Lazarsfeld's book [PAG] contains a whole chapter devoted to local positivity and serves as a very enjoyable introduction to Seshadri constants. Since this book has appeared, the subject witnessed quite a bit of development. It is the aim of these notes to give an account of recent progress as well as to discuss many open questions and provide some examples. The idea of writing these notes occurred during the workshop on Seshadri constants held in Essen 12-15 February 2008.
Place, publisher, year, edition, pages
Providence, RI: American Mathematical Society (AMS), 2009. Vol. 496, 33-70 p.
, Contemporary Mathematics, ISSN 0271-4132 ; 496
IdentifiersURN: urn:nbn:se:kth:diva-84760ISI: 000271373200004OAI: oai:DiVA.org:kth-84760DiVA: diva2:499584
Conference on Interactions of Classical and Numerical Algebraic Geometry held in honor of Andrew J Sommese, Univ Notre Dame, Notre Dame, IN, MAY 22-24, 2008
QC 201202162012-02-132012-02-132012-02-16Bibliographically approved