TL;DR
This paper explores generalizations of the Nakano vanishing theorem under weaker positivity conditions, comparing new results with existing theorems to broaden understanding in complex geometry.
Contribution
It introduces several generalized versions of the Nakano vanishing theorem applicable under weaker positivity assumptions, expanding the theoretical framework.
Findings
New vanishing theorems under weak positivity
Comparison with classical Nakano vanishing results
Broader applicability in complex geometry
Abstract
In this note, we state various generalisations of the Nakano vanishing theorem under weak positivity assumptions, and compare them with the known results.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Algebraic Geometry and Number Theory · Nonlinear Partial Differential Equations