activity
20052026
most citedTwist geometry of the c-map

18 citations · 58 across the 14 of their papers we have counts for

collaborators

14 papers

math.DG2026

Transforms of holomorphic maps from flag manifolds into Grassmannians

Oscar Macia, Yasuyuki Nagatomo

Building on the generalized do Carmo-Wallach theory, we construct a functorial framework for holomorphic maps from flag manifolds into Grassmannians and quadrics. Through the direc…

math.DG2023

On quaternionic bisectional curvature

Oscar Macia, Uwe Semmelmann, Gregor Weingart

In this article we study the concept of quaternionic bisectional curvature introduced by B. Chow and D. Yang for quaternion-Kähler manifolds. We show that non-negative quaternionic…

math.DG2022

Holomorphic isometric embeddings of complex Grassmannians into quadrics: The general case

Oscar Macia, Yasuyuki Nagatomo

The present article studies holomorphic isometric embeddings of arbitrary complex Grassmannians into quadrics, generalising results in [13]. The moduli spaces of these embeddings u…

math.DG2021

Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics

Oscar Macia, Yasuyuki Nagatomo

The present article studies holomorphic isometric embeddings of the complex two--plane Grassmannnian into quadrics. We discuss the moduli space of these embeddings up to gauge and…

math.DG2019★ 3 cited

The c-map on groups

Oscar Macia, Andrew Swann

We study the projective special Kaehler condition on groups, providing an intrinsic definition of homogeneous projective special Kaehler that includes the previously known examples…

math.DG2017

Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics

Oscar Macia, Yasuyuki Nagatomo

The present article studies the class of Einstein-Hermitian harmonic maps of constant Kaehler angle from the projective line into quadrics. We provide a description of their moduli…