On the volume of graded linear series and Monge–Ampère massMathematische Zeitschrift - Tập 275 - Trang 233-243 - 2012
Tomoyuki Hisamoto
We give an analytic description of the volume of a graded linear series, as the Monge–Ampère mass of a certain equilibrium metric associated to any smooth Hermitian metric on the line bundle. We also show the continuity of this equilibrium metric on some Zariski open subset, under a geometric assumption.
On defining functions and cores for unbounded domains IMathematische Zeitschrift - Tập 286 - Trang 987-1002 - 2016
Tobias Harz, Nikolay Shcherbina, Giuseppe Tomassini
We show that every strictly pseudoconvex domain
$$\Omega $$
with smooth boundary in a complex manifold
$${\mathcal {M}}$$
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Smooth quotients of complex tori by finite groupsMathematische Zeitschrift - Tập 300 - Trang 1071-1091 - 2021
Robert Auffarth, Giancarlo Lucchini Arteche
Let T be a complex torus and G a finite group acting on T without translations such that T/G is smooth. Consider the subgroup
$$F\le G$$
generated by elements that have at least one fixed point. We prove that there exists a point
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