English

Numerical characterisation of quadrics

Algebraic Geometry 2018-03-06 v2

Abstract

Let X be a Fano manifold such that every rational curve in X has anticanonical degree at least the dimension of X. We prove that X is a projective space or a quadric.

Keywords

Cite

@article{arxiv.1507.08489,
  title  = {Numerical characterisation of quadrics},
  author = {Thomas Dedieu and Andreas Höring},
  journal= {arXiv preprint arXiv:1507.08489},
  year   = {2018}
}

Comments

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R2 v1 2026-06-22T10:22:22.190Z