Luis Ugarte

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math.DG2025

Properties of Holomorphic $p$ -Contact Manifolds

Hisashi Kasuya, Dan Popovici, Luis Ugarte

We continue the study of compact holomorphic $p$ -contact manifolds $X$ that we introduced recently by expanding the discussion to include non-Kähler hyperbolicity issues and a diff…

math.DG2025

Higher-Degree Holomorphic Contact Structures

Hisashi Kasuya, Dan Popovici, Luis Ugarte

We introduce the classes of holomorphic $p$ -contact manifolds and holomorphic $s$ -symplectic manifolds that generalise the classical holomorphic contact and holomorphic symplectic…

math.DG2023

A Moment Map for the Space of Maps to a Balanced Manifold

Dan Popovici, Luis Ugarte

Given a complex balanced manifold $X$ and a compact complex manifold $S$ equipped with a positive volume form $d V > 0$ and satisfying an extra condition such that $\mbox{dim}\,S\geq\…

Properties of Holomorphic p-Contact Manifolds

Higher-Degree Holomorphic Contact Structures

A Moment Map for the Space of Maps to a Balanced Manifold

Properties of Holomorphic $p$ -Contact Manifolds