A primer on Seshadri constants

@article{Bauer2008APO,
  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},
  year={2008}
}
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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By Seshadri’s criterion, L is ample if and only if e(L) > 0. Recent interest in Seshadri constants derives on the one hand from their application to adjoint linear systems. In fact, a lower bound on
Seshadri constants on algebraic surfaces
Seshadri constants are local invariants, introduced by Demailly, which measure the local positivity of ample line bundles. Recent interest in Seshadri constants stems on the one hand from the fact
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Abstract. The maximal Seshadri number μ(L) of an ample line bundle L on a smooth projective variety X measures the local positivity of the line bundle L at a general point of X. By refining the
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TLDR
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