Irrationality and monodromy for cubic threefolds

Published 19 Aug 2019 in math.AG, math.GR, and math.SG | (1908.06667v3)

Abstract: We show the cohomological monodromy for the universal family of smooth cubic threefolds does not factor through the genus five mapping class group. This gives a geometric group theory perspective on the well-known irrationality of cubic threefolds.

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Ivan Smith

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