Cover Image

Convexity of the Mabuchi functional in big cohomology classes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Di Nezza, Eleonora, Trapani, Stefano, Trusiani, Antonio
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry Complex Variables 32W20, 32U05, 32Q15, 35A23
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Continuity of solutions to complex Hessian equations on compact Hermitian manifolds
by: Fang, Yuetong
Published: (2025)

Non-collapsing volume estimate for local Kähler metrics in big cohomology classes
by: Do, Thai Duong, et al.
Published: (2025)

Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds
by: Alehyane, Omar, et al.
Published: (2025)

Degenerate complex Monge-Ampère equations on some compact Hermitian manifolds
by: Salouf, Mohammed
Published: (2024)

The Range of the Monge-Ampère operator $(ω+ dd^c .)^n$ in bounded domains
by: Alehyane, Omar, et al.
Published: (2025)

An iterative construction of complete Kähler--Einstein metrics
by: Dang, Quang-Tuan, et al.
Published: (2024)

On the Ohsawa-Takegoshi $L^2$ extension theorem and removable singularities of plurisubharmonic functions
by: Wang, Xieping
Published: (2023)

Convergence in $(ω,m)$-capacity in the class $\mathcal{E}(X, ω,m)$ on compact Kähler manifolds
by: Hai, Le Mau, et al.
Published: (2026)

Characterizing the range of the complex Monge-Ampère operator
by: Liu, Songchen
Published: (2024)

Generalization of Finite Entropy Measures in Kähler Geometry
by: Åhag, P., et al.
Published: (2024)

Degenerate complex Hessian equations with arbitrary measure in bounded domains
by: Van Phu, Nguyen, et al.
Published: (2025)

Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds
by: Hai, Le Mau, et al.
Published: (2026)

Singularities vs non-pluripolar Monge--Ampère masses
by: Dang, Quang-Tuan, et al.
Published: (2025)

$L^1$-Stability for complex Monge-Ampère equations
by: Liu, Songchen, et al.
Published: (2025)

Kähler--Einstein metrics on quasi-projective manifolds
by: Dang, Quang-Tuan, et al.
Published: (2023)

Negative holomorphic bisectional curvature of some bounded domains
by: Bakkacha, Omar
Published: (2024)

Bounded solution to Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb C^n$
by: Anh, Hoang Thieu, et al.
Published: (2025)

Two variational problems in Kähler geometry
by: Lempert, Laszlo
Published: (2024)

A property of holomorphic functions related to plurisubharmonic functions
by: Van Phu, Nguyen
Published: (2023)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Fundamental results
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Siciak-Zakharyuta theorem
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Polynomials with exponents in compact convex sets and associated weighted extremal functions -- The Bernstein-Walsh-Siciak theorem
by: Magnússon, Benedikt Steinar, et al.
Published: (2023)

Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property
by: Li, Xuan
Published: (2026)

Weighted energy class of $m$-subharmonic functions
by: Anh, H. T., et al.
Published: (2023)

Geometry at the infinity of the space of positive metrics: test configurations, geodesic rays and chordal distances
by: Finski, Siarhei
Published: (2023)

Geodesic connectivity and rooftop envelopes in the Cegrell classes
by: Åhag, Per, et al.
Published: (2024)

Holomorphic bundles framed along a real hypersurface and the Riemann-Hilbert problem
by: Teleman, Andrei
Published: (2023)

Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values
by: Van Phu, Nguyen
Published: (2025)

Asymptotics of small eigenvalues on degenerations of Kähler manifolds
by: Cao, Junyu
Published: (2026)

Hermitian null loci
by: Dang, Quang-Tuan
Published: (2024)

A Note on Zoll Manifolds with Entire Grauert Tubes
by: Song, Kyobeom
Published: (2025)

Zoll Manifolds of Type $\mathbb{CP}^n$ with Entire Grauert Tubes
by: Li, Chi, et al.
Published: (2025)

Heat kernel asymptotics for Kodaira Laplacians of high power of line bundle over complex manifolds
by: Wang, Huan, et al.
Published: (2023)

Continuity of solutions to complex Monge-Ampère equations on compact Kähler spaces
by: Cho, Ye-Won Luke, et al.
Published: (2024)

$ω$-trace and Griffiths positivity for singular Hermitian metrics
by: Watanabe, Yuta
Published: (2024)

Complete Geodesic Metrics in Big Classes
by: Gupta, Prakhar
Published: (2024)

Finite Energy Geodesic Rays in Big Cohomology Classes
by: Gupta, Prakhar
Published: (2024)

Maximal subextension and approximation of $m-$subharmonic function
by: Van Phu, Nguyen, et al.
Published: (2023)

On $1/2$ estimate for global Newlander-Nirenberg theorem
by: Shi, Ziming
Published: (2023)

Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
by: Åhag, Per, et al.
Published: (2024)