2018•arXiv (Cornell University)Open access

What is the monodromy property for degenerations of Calabi-Yau varieties?

Luigi Lunardon

Abstract

In this survey, we discuss the state of art about the monodromy property for Calabi-Yau varieties. We explain what is the monodromy property for Calabi-Yau varieties and then discuss some examples of Calabi-Yau varieties that satisfy this property. After this recap, we discuss a possible approach to future research in this area.

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Key concepts: Monodromy, Calabi–Yau manifold, Property (philosophy), Pure mathematics, Mathematics, Algebra over a field, Philosophy, Epistemology