## Kyoto Journal of Mathematics

### On $\operatorname{SL}(2)$-orbit theorems

Kazuya Kato

#### Abstract

We extend $\operatorname{SL}(2)$-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.

#### Article information

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

Dates
First available in Project Euclid: 5 November 2014

https://projecteuclid.org/euclid.kjm/1415196158

Digital Object Identifier
doi:10.1215/21562261-2801840

Mathematical Reviews number (MathSciNet)
MR3276419

Zentralblatt MATH identifier
1311.32006

#### Citation

Kato, Kazuya. On $\operatorname{SL}(2)$ -orbit theorems. Kyoto J. Math. 54 (2014), no. 4, 841--861. doi:10.1215/21562261-2801840. https://projecteuclid.org/euclid.kjm/1415196158

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