Spectrum bounds in geometry

Antonella Grassi

Spectrum bounds in geometry

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arxiv 2304.07819 v2 pith:75QZPKSL submitted 2023-04-16 math.AG hep-th

Antonella Grassi This is my paper · ORCID

classification math.AGhep-th

keywords boundscalabi-yauspectrumboundednesscompactificationsconcludeellipticallyexplicit

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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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Explicit Bounds on the Spectrum of 6d N=(1,0) Supergravity
hep-th 2025-07 reject novelty 6.0 of 10

A new geometric strategy using 1/6-log-canonical pairs and P1 fibrations is proposed to bound the tensor spectrum of 6d N=(1,0) supergravity, with an announced bound T ≤ 567 whose proof is deferred to a companion paper.

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