6533b872fe1ef96bd12d3842
RESEARCH PRODUCT
Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem
Daniel LoughranAriyan Javanpeykarsubject
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)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-20 |