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arXiv · 1902.08381

Rational equivalence of cusps

Shouhei Ma
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Abstract

We prove that two cusps of the same dimension in the Baily-Borel compactification of some classical series of modular varieties are linearly dependent in the rational Chow group of the compactification. This gives a higher dimensional analogue of the Manin-Drinfeld theorem. As a consequence, we obtain a higher dimensional generalization of modular units as higher Chow cycles on the modular variety.

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Shouhei Ma. 2019-02-22. Rational equivalence of cusps. https://doi.org/10.2140/akt.2020.5.395

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