### Abstract

The solutions of P_{III}(0, 0, 4, −4) on ℝ_{> 0} which take values in ℝ or in S ^{1} are related to the TERP structures which the second author had defined in [He03], motivated by [CV91, CV93, Du93], and which were studied subsequently in [HS07, HS10, HS11] [Mo11b, Sa05a, Sa05b] and other papers. They generalize variations of (polarized) Hodge structures. The concept of TERP(0) bundle is defined below in Definition 16.1. It is a TEP bundle with an additional real structure. It can be pure or not, and if it is pure, it can be polarized or not. A pure polarized TERP(0) bundle generalizes a polarized Hodge structure.

Original language | English |
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Title of host publication | Lecture Notes in Mathematics |

Publisher | Springer Verlag |

Pages | 161-170 |

Number of pages | 10 |

Volume | 2198 |

DOIs | |

Publication status | Published - 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 2198 |

ISSN (Print) | 0075-8434 |

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Guest, M., & Hertling, C. (2017). TERP structures and P

_{3D6}-TEP bundles. In*Lecture Notes in Mathematics*(Vol. 2198, pp. 161-170). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_16