General Schwarz Lemmata and their applications
Lei Ni

TL;DR
This paper develops generalized Schwarz lemmas that interpolate between existing estimates, offering new insights into the geometry of compact Kähler manifolds with specific curvature conditions.
Contribution
It introduces more flexible Schwarz lemma estimates that unify and extend previous results, enhancing understanding of geometric properties of Kähler manifolds.
Findings
New interpolating estimates for Schwarz lemmas
Applications to algebraic geometry of Kähler manifolds
Enhanced understanding of curvature conditions
Abstract
We prove estimates interpolating the Schwarz Lemmata of Royden-Yau and the ones recently established by the author. These more flexible estimates provide additional information on (algebraic) geometric aspects of compact K\"ahler manifolds with nonnegative holomorphic sectional curvature, nonnegative or positive .
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Taxonomy
TopicsAnalytic and geometric function theory · Advanced Algebra and Geometry · Algebraic and Geometric Analysis
