0000000001276093

AUTHOR

Daniel Loughran

0000-0001-5892-1564

showing 1 related works from this author

Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem

2020

We prove an analogue for algebraic stacks of Hermite-Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley-Weil type theorem for integral points on stacks. As an application of our results, we prove analogues of the Shafarevich conjecture for some surfaces of general type.

Pure mathematicsConjectureMathematics - Number TheoryGeneral MathematicsAlgebraic number theory010102 general mathematicsType (model theory)01 natural sciencesMathematics - Algebraic Geometry0103 physical sciencesFOS: MathematicsNumber Theory (math.NT)010307 mathematical physics0101 mathematicsAlgebraic numberAlgebraic Geometry (math.AG)Mathematics
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