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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2023 · math.CVShow all

6 papers · 2 filters

math.CV2023★ 1 cited

Singular cscK metrics on smoothable varieties

Chung-Ming Pan, Tat Dat Tô, Antonio Trusiani

We prove the lower semi-continuity of the coercivity threshold of Mabuchi functional along a degenerate family of normal compact Kähler varieties with klt singularities. Moreover,…

math.CV2023★ 1 cited

On non-visibility of Kobayashi geodesics and the geometry of the boundary

Ahmed Yekta Ökten

We show that on convex domains with sufficiently smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In two dimensions, this implies t…

math.CV2023

A Non-Integrable Ohsawa-Takegoshi-Type Extension Theorem

Dan Popovici

Given a complete Kähler manifold with finite second Betti number, a smooth complex hypersurface and a smooth real -closed -form on with a…

math.CV2023★ 5 cited

The Eigenvalue Problem for the complex Monge-Ampère operator

Papa Badiane, Ahmed Zeriahi

We prove the existence of the first eigenvalue and an associated eigenfunction with Dirichlet condition for the complex Monge-Ampère operator on a bounded strongly pseudoconvex dom…

math.CV2023★ 3 cited

A Gehring-Hayman inequality for strongly pseudoconvex domains

Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas

We prove that in a strongly pseudoconvex domain with smooth boundary, then the length of a geodesic for the Kobayashi-Royden infinitesimal metric between two points is bounded by a…

math.CV2023

On the algebraicity of germs of meromorphic functions

Yohann Genzmer, Rogério Mol

In this article we prove that every germ of analytic meromorphic function at is equivalent, under the right composition by a germ of biholomorphism, to a germ…