Positivity of divisors on blown-up projective spaces, I

Olivia Dumitrescu; Elisa Postinghel

Positivity of divisors on blown-up projective spaces, I

Algebraic Geometry 2017-09-18 v5 Commutative Algebra

Authors: Olivia Dumitrescu , Elisa Postinghel

Abstract

We study $l$ -very ample, ample and semi-ample divisors on the blown-up projective space $\mathbb{P}^n$ in a collection of points in general position. We establish Fujita's conjectures for all ample divisors with the number of points bounded above by $2n$ and for an infinite family of ample divisors with an arbitrary number of points.

Keywords

blown-up projective space divisors very ample ample semi-ample Fujita's conjectures general position

Cite

@article{arxiv.1506.04726,
  title  = {Positivity of divisors on blown-up projective spaces, I},
  author = {Olivia Dumitrescu and Elisa Postinghel},
  journal= {arXiv preprint arXiv:1506.04726},
  year   = {2017}
}

Comments

Inequality (2.2) was slightly modified

Positivity of divisors on blown-up projective spaces, I

Abstract

Keywords

Cite

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