English

Seshadri constants for curve classes

Algebraic Geometry 2018-09-10 v2

Abstract

We develop a local positivity theory for movable curves on projective varieties similar to the classical Seshadri constants of nef divisors. We give analogues of the Seshadri ampleness criterion, of a characterization of the augmented base locus of a big and nef divisor, and of the interpretation of Seshadri constants as an asymptotic measure of jet separation. We also study the case of arbitrary codimension.

Cite

@article{arxiv.1707.07347,
  title  = {Seshadri constants for curve classes},
  author = {Mihai Fulger},
  journal= {arXiv preprint arXiv:1707.07347},
  year   = {2018}
}

Comments

Lemma 4.4 and Examples 4.5 and 5.3 are new. Some typos fixed. Comments welcome

R2 v1 2026-06-22T20:55:11.613Z