Elliptic threefolds with high Mordell-Weil rank

DOI10.4310/CNTP.2022.v16.n4.a3MaRDI QIDQ2090525

Antonella Grassi, Timo Weigand

Publication date: 25 October 2022

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02863

zbMATH Keywords

quantum gravityMordell-Weil rankelliptic fibrationCalabi-Yau 3-foldsF-theory compactificationanomaly cancellationrational elliptic surfacesWeierstrass modelabelian gauge algebrabirational Calabi-Yaucharged singlet matterElkies modelsmassless particle spectrumNamikawa examplesSchoen 3-foldsU(1) charge

Mathematics Subject Classification ID

Rational points (14G05) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Families, fibrations in algebraic geometry (14D99)

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Quantum gravity bounds on \(\mathcal{N} = 1\) effective theories in four dimensions ⋮ F-theory on quotients of elliptic Calabi-Yau threefolds

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