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Pencils of quadrics and period index questions for hyperelliptic curves

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KA2W01 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

The connection between a  pencil of quadrics with smooth base locus and the geometry of the associated hyperrelliptic curve is classical. We explain in this talk how to obtain period-index bounds for Brauer classes on the hyperrelliptic curve over a number field by finding suitable Grassmannian of zeros of the base locus of the associated pencil of quadrics.

This talk is part of the Isaac Newton Institute Seminar Series series.

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