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arXiv · 1512.08670

Effective bounds for the negativity of Shimura curves on Hilbert Modular Surfaces

Sonia Samol
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Abstract

We study the bounded negativity conjecture for non-quaternionic Hilbert modular surfaces and give an explicit bound for the special case of Hirzebruch-Zagier curves on Hilbert modular surfaces.

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Sonia Samol. 2015-12-29. Effective bounds for the negativity of Shimura curves on Hilbert Modular Surfaces. https://arxiv.org/abs/1512.08670

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