Global monodromy modulo 5 of quintic-mirror family
Kennichiro Shirakawa
TL;DR
This paper describes the global monodromy group modulo 5 for the quintic-mirror family of Calabi-Yau threefolds, providing new insights into its algebraic structure over finite rings.
Contribution
It offers a presentation of the global monodromy group modulo 5, advancing understanding of its structure in the context of Calabi-Yau families.
Findings
Explicit presentation of the monodromy group modulo 5
Enhanced understanding of monodromy in algebraic geometry
Foundation for further arithmetic and geometric analysis
Abstract
The quintic-mirror family is a well-known one-parameter family of Calabi-Yau threefolds. A complete description of the global monodromy group of this family is not yet known. In this paper, we give a presentation of the global monodromy group in the general linear group of degree 4 over the ring of integers modulo 5.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models