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arXiv · 2304.07819

Spectrum bounds in geometry

Antonella Grassi
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Abstract

Filipazzi, Hacon and Svaldi proved that there are only finitely many topological types of elliptically fibered Calabi-Yau threefolds. We explore the implications of their results on the boundedness of the geometric quantities in the massless spectrum of the F-theory Calabi-Yau compactifications. We conclude with explicit bounds.

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Antonella Grassi. 2023-04-16. Spectrum bounds in geometry. https://arxiv.org/abs/2304.07819

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