English

Multiplicative bounds for measures of irrationality on complete intersections

Algebraic Geometry 2021-11-11 v1

Abstract

We show that measures of irrationality on very general codimension two complete intersections and very general complete intersection surfaces are multiplicative in the degrees of the defining equations. This confirms some cases of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, and Ullery. Our methods involve studying the numerical invariants of curves on complete intersections.

Keywords

Cite

@article{arxiv.2111.05549,
  title  = {Multiplicative bounds for measures of irrationality on complete intersections},
  author = {Nathan Chen},
  journal= {arXiv preprint arXiv:2111.05549},
  year   = {2021}
}

Comments

21 pages

R2 v1 2026-06-24T07:33:20.906Z