Construction of hyperbolic hypersurfaces of low degree in $\mathbb{p}^n(\mathbb{c})$

Dinh Tuan Huynh

doi:10.1142/S0129167X16500592

Construction of hyperbolic hypersurfaces of low degree in $\mathbb{p}^n(\mathbb{c})$

Algebraic Geometry 2016-05-11 v2 Complex Variables Differential Geometry

Authors: Dinh Tuan Huynh

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Abstract

We construct families of hyperbolic hypersurfaces $X_d\subset\mathbb{P}^{n+1}(\mathbb{C})$ of degree $d\geq {\textstyle{(\frac{n+3}{2})^2}}$ .

Keywords

hyperbolic hypersurface low degree complex projective space algebraic geometry construction projective variety

Cite

@article{arxiv.1601.06653,
  title  = {Construction of hyperbolic hypersurfaces of low degree in $\mathbb{p}^n(\mathbb{c})$},
  author = {Dinh Tuan Huynh},
  journal= {arXiv preprint arXiv:1601.06653},
  year   = {2016}
}

Comments

7 pages, application of the method used in our previous paper arXiv:1507.03542 to any dimension, new references are added, minor changes, to appear in International Journal of Mathematics

Construction of hyperbolic hypersurfaces of low degree in $\mathbb{p}^n(\mathbb{c})$

Abstract

Keywords

Cite

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