English

Augmented and restricted base loci of cycles

Algebraic Geometry 2020-11-25 v4

Abstract

We introduce augmented and restricted base loci of cycles and we study the positivity properties naturally defined by these base loci.

Keywords

Cite

@article{arxiv.1910.08816,
  title  = {Augmented and restricted base loci of cycles},
  author = {Angelo Felice Lopez},
  journal= {arXiv preprint arXiv:1910.08816},
  year   = {2020}
}

Comments

15 pages; v2: minor change adding the case k=n-1; v3: major improvement following referee's indication of using push-forwards of complete intersections under finite flat maps and how this allows to extend the results. The main theorem now holds for any k and so do its consequences. To appear on the Annales de l'Institut Fourier