A primer on Seshadri constants

  title={A primer on Seshadri constants},
  author={Thomas Bauer and Sandra Di Rocco and Brian Harbourne and Michał Kapustka and Andreas Leopold Knutsen and Wioletta Syzdek and Tomasz Szemberg},
  journal={arXiv: Algebraic Geometry},
Seshadri constants express the so called local positivity of a line bundle on a projective variety. They were introduced by Demailly. The original idea of using them towards a proof of the Fujita conjecture failed but they quickly became a subject of intensive study quite in their own right. Lazarsfeld's book "Positivity in Algebraic Geometry" contains a whole chapter devoted to local positivity and serves as a very enjoyable introduction to Seshadri constants. Since this book has appeared, the… 
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