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20002026
most citedCompact Stein surfaces with boundary as branched covers of $\B^4$

77 citations · 364 across the 84 of their papers we have counts for

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math.DG2026

Projectively induced Kähler--Einstein surfaces

Andrea Loi, Mirel Caibăr

We classify compact Kähler--Einstein surfaces whose metric is induced by a holomorphic isometric immersion into a finite-dimensional complex projective space. No symmetry assumptio…

math.DG2026

Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification

Claudio Arezzo, Andrea Loi, Giovanni Placini +1

We study radial Kähler metrics on domains of , , admitting a Kähler immersion into a finite- or infinite-dimensional complex projective space. We classify th…

math.DG2026

Complex Hyperbolic Immersions of Cheng--Yau Metrics on Thullen Domains

Mirel Caibãr, Andrea Loi

For , let \[ M(μ)=\left\{(z,w)\in\mathbb{C}^2 : |z|^2+|w|^{2/μ}<1\right\} \] be the Thullen domain, and let denote its complete Cheng--Yau Kähler--Einstein m…

math.DG2025

The polydisk theorem for Hartogs domains over symmetric domains

Andrea Loi, Roberto Mossa, Fabio Zuddas

We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded…

math.DG2025

Universal embeddings of flag manifolds and rigidity phenomena

Andrea Loi, Roberto Mossa, Fabio Zuddas

We prove a universal embedding theorem for flag manifolds: every flag manifold admits a holomorphic isometric embedding into an irreducible classical flag manifold. This result gen…

math.DG2024

Kähler duality and projective embeddings

Andrea Loi, Roberto Mossa, Fabio Zuddas

Motivated by the duality theory between Hermitian symmetric spaces of noncompact and compact types, we introduce and examine the concept of Kähler duality between domains of $\math…