Eric Riedl

activity

20162021

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8 papers · 1 filter

math.AG2021

Restricted tangent bundles for general free rational curves

Brian Lehmann, Eric Riedl

Suppose that $X$ is a smooth projective variety and that $C$ is a general member of a family of free rational curves on $X$ . We prove several statements showing that the Harder-Nar…

math.AG2019

Algebraic hyperbolicity of very general surfaces

Izzet Coskun, Eric Riedl

Recently, Haase and Ilten initiated the study of classifying algebraically hyperbolic surfaces in toric threefolds. We complete this classification for $\mathbb{P}^1 \times \mathbb…

math.AG2019

Linear subspaces of hypersurfaces

Roya Beheshti, Eric Riedl

Let $X$ be an arbitrary smooth hypersurface in $C P^{n}$ of degree $d$ . We prove the de Jong-Debarre Conjecture for $n \geq 2 d - 4$ : the space of lines in $X$ has dim…

math.AG2018

Effective bounds on ampleness of cotangent bundles

Izzet Coskun, Eric Riedl

We prove that a general complete intersection of dimension $n$ , codimension $c$ and type $d_{1}, \dots, d_{c}$ in $P^{N}$ has ample cotangent bundle if $c \geq 2 n - 2$ and the $d_…

math.AG2018

Applications of a grassmannian technique in hypersurfaces

Eric Riedl, David Yang

In this paper we further develop a Grassmannian technique used to prove results about very general hypersurfaces and present three applications. First, we provide a short proof of…

math.AG2018

Algebraic hyperbolicity of the very general quintic surface in $P^{3}$

Izzet Coskun, Eric Riedl

We prove that a curve of degree $d k$ on a very general surface of degree $d \geq 5$ in $P^{3}$ has geometric genus at least $\frac{d k ( d - 5 ) + k}{2} + 1$ . This improves bounds g…

Restricted tangent bundles for general free rational curves

Algebraic hyperbolicity of very general surfaces

Linear subspaces of hypersurfaces

Effective bounds on ampleness of cotangent bundles

Applications of a grassmannian technique in hypersurfaces

Algebraic hyperbolicity of the very general quintic surface in P3

Algebraic hyperbolicity of the very general quintic surface in $P^{3}$