English

Examples of hyperbolic hypersurfaces of low degree in projective spaces

Complex Variables 2015-12-31 v5 Algebraic Geometry
Authors: Dinh Tuan Huynh
View on arXiv ↗ PDF ↗

Abstract

We construct families of hyperbolic hypersurfaces of degree 2n2n in the projective space Pn(C)\mathbb{P}^n(\mathbb{C}) for 3≤n≤63 \leq n \leq 6.

Keywords

hyperbolic hypersurfaces projective spaces low degree complex algebraic geometry

Cite

@article{arxiv.1507.03542,
  title  = {Examples of hyperbolic hypersurfaces of low degree in projective spaces},
  author = {Dinh Tuan Huynh},
  journal= {arXiv preprint arXiv:1507.03542},
  year   = {2015}
}

Comments

28 pages, 9 figures, to appear in International Mathematics Research Notices

Related papers

View all related →
Algebraic Geometry · Mathematics
Construction of hyperbolic hypersurfaces of low degree in $\mathbb{p}^n(\mathbb{c})$
Dinh Tuan Huynh
2016-05-11
Algebraic Geometry · Mathematics
Two classes of hyperbolic surfaces in P^3
Bernard Shiffman, Mikhail Zaidenberg
2007-05-23
Algebraic Geometry · Mathematics
Families of explicit quasi-hyperbolic and hyperbolic surfaces
Natalia Garcia-Fritz, Giancarlo Urzúa
2018-04-23
Algebraic Geometry · Mathematics
Constructing low degree hyperbolic surfaces in P^3
Bernard Shiffman, Mikhail Zaidenberg
2007-05-23
Differential Geometry · Mathematics
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
J. Carlos Diaz-Ramos, Miguel Dominguez-Vazquez
2010-11-24
Algebraic Geometry · Mathematics
Hyperbolic hypersurfaces in P^n of Fermat-Waring type
Bernard Shiffman, Mikhail Zaidenberg
2007-05-23
Algebraic Geometry · Mathematics
Algebraic hyperbolicity of very general hypersurfaces in products of projective spaces
Wern Yeong
2022-03-04
Complex Variables · Mathematics
Une sextique hyperbolique dans P^3(C)
Julien Duval
2007-05-23
Algebraic Geometry · Mathematics
Holomorphic Jet Bundles
W. Stoll, P. M. Wong
2007-05-23
Differential Geometry · Mathematics
Isoparametric hypersurfaces in complex hyperbolic spaces
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez
2017-06-13
Differential Geometry · Mathematics
Minimal Lagrangian submanifolds in the complex hyperbolic space
I. Castro, C. R. Montealegre, F. Urbano
2012-12-04
Group Theory · Mathematics
Surface-like boundaries of hyperbolic groups
Benjamin Beeker, Nir Lazarovich
2022-02-04
Algebraic Geometry · Mathematics
Algebraic hyperbolicity for surfaces in smooth projective toric threefolds with Picard rank 2 and 3
Sharon Robins
2024-10-01
Algebraic Geometry · Mathematics
3-fold symmetric products of curves as hyperbolic hypersurfaces in $\Proj^4$
Ciro Ciliberto, Mikhail Zaidenberg
2007-05-23
alg-geom · Mathematics
On the Hyperbolicity of the Complements of Curves in Algebraic Surfaces: The Three Component Case
Gerd Dethloff, Georg Schumacher, Pit-Mann Wong
2014-12-01
Algebraic Geometry · Mathematics
Hyperbolicity of general deformations
Mikhail Zaidenberg
2007-11-21
Algebraic Geometry · Mathematics
Algebraic cycles on hyperplane sections of hypersurfaces in $\mathbb P^n$ for $n=5,6$
Kalyan Banerjee
2019-06-27
Differential Geometry · Mathematics
Complete biconservative surfaces in the hyperbolic space $\mathbb{H}^3$
Simona Nistor, Cezar Oniciuc
2019-09-30
Geometric Topology · Mathematics
Quotients of the holomorphic 2-ball and the turnover
Hugo C. Botós, Carlos H. Grossi
2025-04-15
Geometric Topology · Mathematics
Isospectral hyperbolic surfaces of infinite genus
Federica Fanoni
2020-12-15
Geometric Topology · Mathematics
Nonhyperbolic Dehn fillings on hyperbolic 3-manifolds
Mario Eudave-Muñoz, Ying-Qing Wu
2016-09-07
Geometric Topology · Mathematics
Hyperbolic three-manifolds with trivial finite type invariants
Hitoshi Murakami
2007-05-23
Algebraic Geometry · Mathematics
Hyperbolicity of Generic Surfaces of High Degree in Projective 3-Space
Jean-Pierre Demailly, Jawher El Goul
2007-05-23
Geometric Topology · Mathematics
Complex hyperbolic cone structures on the configuration spaces
Sadayoshi Kojima
2007-05-23
Symplectic Geometry · Mathematics
Rationally Convex Surfaces with hyperbolic complex tangencies
Georgios Dimitroglou Rizell, Mark G. Lawrence
2025-02-06