Kyle Broder

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20212026

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math.DG2025

Holomorphic $p$ -Contact and $s$ -Symplectic Line Bundles

Kyle Broder, Dan Popovici

We generalise the notions of scalar-valued holomorphic $p$ -contact and $s$ -symplectic structures introduced recently on compact complex manifolds by the second-named author jointly…

math.DG2025

Hyperbolicity and Schwarz Lemmas in Calibrated Geometry

Kyle Broder, Anton Iliashenko, Jesse Madnick

This paper has two main objectives. First, for an arbitrary calibrated manifold $(X, ϕ)$ , we define notions of $R_{ϕ}$ -hyperbolicity and $ϕ$ -hyperbolicity, which respectively generali…

Holomorphic p-Contact and s-Symplectic Line Bundles

Hyperbolicity and Schwarz Lemmas in Calibrated Geometry

Holomorphic $p$ -Contact and $s$ -Symplectic Line Bundles