Add to ORKGWe introduce a synthetic approach to global pluripotential theory, covering in particular the case of a compact K\"ahler manifold and that of a projective Berkovich space over a non-Archimedean field. We define and study the space of measures of finite energy, introduce twisted energy and free energy functionals thereon, and show that coercivity of these functionals is an open condition with respect to the polarization.Comment: 48 page
Given a K\"ahler manifold $X$ with an ample line bundle $L$, we consider the metric space of $L^1$ g...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
We define non-pluripolar products of an arbitrary number of closed positive $(1,1)$-currents on a co...
For any polarized variety (X,L), we show that test configurations and, more generally, R-test config...
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued...
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued...
Finite energy pluripotential theory accommodates the variational theory of equations of complex Mong...
Given a domain Omega subset of C-n we introduce a class of plurisubharmonic (psh) functions G(Omega)...
Given a domain $\Omega\subset \mathbf C^n$ we introduce a class of plurisubharmonic (psh) functions ...
Given a compact polarized manifold $(X,L)$, we introduce two new stability thresholds in terms of si...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
Given a K\ue4hler manifold X with an ample line bundle L, we consider the metric space of finite ene...
For any polarized variety (X, L), we show that test configurations and, more generally, R-test confi...
For any polarized variety (X, L), we show that test configurations and, more generally, R-test confi...
We obtain a new formula for the Loewner energy of simple curves of the sphere as the renormalised en...
Given a K\"ahler manifold $X$ with an ample line bundle $L$, we consider the metric space of $L^1$ g...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
We define non-pluripolar products of an arbitrary number of closed positive $(1,1)$-currents on a co...
For any polarized variety (X,L), we show that test configurations and, more generally, R-test config...
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued...
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued...
Finite energy pluripotential theory accommodates the variational theory of equations of complex Mong...
Given a domain Omega subset of C-n we introduce a class of plurisubharmonic (psh) functions G(Omega)...
Given a domain $\Omega\subset \mathbf C^n$ we introduce a class of plurisubharmonic (psh) functions ...
Given a compact polarized manifold $(X,L)$, we introduce two new stability thresholds in terms of si...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
Given a K\ue4hler manifold X with an ample line bundle L, we consider the metric space of finite ene...
For any polarized variety (X, L), we show that test configurations and, more generally, R-test confi...
For any polarized variety (X, L), we show that test configurations and, more generally, R-test confi...
We obtain a new formula for the Loewner energy of simple curves of the sphere as the renormalised en...
Given a K\"ahler manifold $X$ with an ample line bundle $L$, we consider the metric space of $L^1$ g...
To any projective pair $(X,B)$ equipped with an ample $\mathbb{Q}$-line bundle $L$ (or even any ampl...
We define non-pluripolar products of an arbitrary number of closed positive $(1,1)$-currents on a co...