Dan Popovici

collaborators

7 papers

math.DG2026

$m$ -Positive Stability of Holomorphic Vector Bundles and Moduli Spaces

Dan Popovici

We first propose a notion of $m$ -positivity for higher-rank vector bundles, a variant of which reduces to the classical Griffiths positivity when $m = 1$ . Based on this, we go on to…

math.AG2026

Generalised Hermite-Einstein Fibre Metrics and Slope Stability for Holomorphic Vector Bundles

Dan Popovici

Let $X$ be a compact complex manifold of dimension $n$ and let $m$ be a positive integer with $m \leq n$ . Assume that $X$ admits a KÃ¤hler metric $I ¨ $ and a weakly positive, $\parti…

math.DG2026

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

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.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-KÃ¤hler hyperbolicity issues and a dif…

math.DG2025

$m$ -Pseudo-effectivity and a Monge-AmpÃ¨re-Type Equation for Forms of Positive Degree

SÅawomir Dinew, Dan Popovici

Given an $n$ -dimensional compact KÃ¤hler manifold, we continue our study of $m$ -positivity in two ways. We first propose generalisations of the notions of pseudo-effective and big…

m-Positive Stability of Holomorphic Vector Bundles and Moduli Spaces

Generalised Hermite-Einstein Fibre Metrics and Slope Stability for Holomorphic Vector Bundles

Holomorphic p-Contact and s-Symplectic Line Bundles

Higher-Degree Holomorphic Contact Structures

Properties of Holomorphic p-Contact Manifolds

m-Pseudo-effectivity and a Monge-AmpÃ¨re-Type Equation for Forms of Positive Degree

$m$ -Positive Stability of Holomorphic Vector Bundles and Moduli Spaces

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

Properties of Holomorphic $p$ -Contact Manifolds

$m$ -Pseudo-effectivity and a Monge-AmpÃ¨re-Type Equation for Forms of Positive Degree