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Transcendental Brauer-Manin obstructions on some Calabi-Yau threefolds

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: Thursday, November 19, 2020 14:00 - 15:00
Speaker: Sachi Hashimoto (Boston University, Massachusetts)
Location: https://mathseminars.org/seminar/AGNTISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

We study the arithmetic properties of a family of Calabi-Yau threefolds originally studied by Hosono and Takagi in the context of mirror symmetry. The geometry of these varieties endows them with a 2-torsion Brauer class. Under mild conditions, we show this Brauer class prevents the rational points from being dense in the adelic points. This is joint work with Katrina Honigs, Alicia Lamarche, and Isabel Vogt.

 


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