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Workshop on birational geometry
November 10, 2021 11:30–12:30, HSE University, Laboratory of Algebraic Geometry and Its Applications, online
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Arithmetic and geometry of cyclic covers
D. Loughran |
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Abstract:
When presented with a hypersurface in projective space, a common trick is to pass to a cyclic cover of the projective space branched along the given hypersurface. In this talk I will discuss various stack-theoretic issues which arise when trying to perform this construction in a family, and give applications to finiteness results for hypersurfaces over $Q$ with good reduction outside a given set of primes. This is joint work with Ariyan Javanpeykar and Siddharth Mathur.
Language: English
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