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arXiv · 2010.06720

Analog of Satake-Baily-Borel for period maps

Mark Green·Phillip Griffiths·Colleen Robles
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Abstract

We propose an analog of the Satake--Baily--Borel compactification and Borel's extension theorem for arbitrary period maps. The proposed analog is constructed as a proper topological completion of the period map. It is conjectured that the construction is projective algebraic, and the conjecture is reduced to a certain extension problem.

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Mark Green, Phillip Griffiths, Colleen Robles. 2020-10-13. Analog of Satake-Baily-Borel for period maps. https://arxiv.org/abs/2010.06720

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