Kyoto Journal of Mathematics

On SL(2)-orbit theorems

Kazuya Kato

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We extend SL(2)-orbit theorems for the degeneration of mixed Hodge structures to a situation in which we do not assume the polarizability of graded quotients. We also obtain analogous results on Deligne systems.

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Kyoto J. Math., Volume 54, Number 4 (2014), 841-861.

First available in Project Euclid: 5 November 2014

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Zentralblatt MATH identifier

Primary: 32G20: Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30]
Secondary: 14C30: Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture 58A14: Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35]


Kato, Kazuya. On $\operatorname{SL}(2)$ -orbit theorems. Kyoto J. Math. 54 (2014), no. 4, 841--861. doi:10.1215/21562261-2801840.

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