2019
DOI: 10.48550/arxiv.1911.02973
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Picard theorems for moduli spaces of polarized varieties

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Cited by 6 publications
(13 citation statements)
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“…The following applications refine some recent results of Deng [Den20]. However, our approach differs from his: on the one hand, while Deng uses an ad hoc Finsler metric, we rely on the Griffiths-Schmid metric, and on the other hand, while Deng relies on the big Picard theorem from [DLSZ19], we use our Theorem 1.1.…”
Section: Two Applicationsmentioning
confidence: 66%
“…The following applications refine some recent results of Deng [Den20]. However, our approach differs from his: on the one hand, while Deng uses an ad hoc Finsler metric, we rely on the Griffiths-Schmid metric, and on the other hand, while Deng relies on the big Picard theorem from [DLSZ19], we use our Theorem 1.1.…”
Section: Two Applicationsmentioning
confidence: 66%
“…(4) We recall the classical Picard theorems, the so-called little Picard theorem and big Picard theorem in complex one variable and their generalizations to higher dimensional varieties. We stetch the proof in the paper [11] for the Picard extension theorem on a base parametrizing smooth varierties with semi-ample canonical line bundles.…”
Section: • the Rigidity Of Points In Hmentioning
confidence: 99%
“…Theorem 5.2.1. ( Deng-Lu-Sun-Zuo [11] Picard extension theorem on moduli stacks) Let U be a quasiprojective manifold with a smooth projective compactification Ȳ ⊃ U. Let f : V → U is family of n-folds with semi-ample canonical sheaf ω , and assume the classfying map from U to the moduli space is quasi finite.…”
Section: Picard Extension Theorem On Moduli Stacks the Classical Pica...mentioning
confidence: 99%
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“…In [DLSZ19] the second named author with Lu, Sun and Zuo proved the Picard hyperbolicity for moduli of polarized manifolds with semi-ample canonical sheaf. In [Den20b], the second named author proved Theorems A and B when the nilpotent harmonic bundle ( , , ℎ) is moreover a complex polarized variation of Hodge structures.…”
mentioning
confidence: 99%