Thomas Grubb

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20162022

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math.NT2022

A cut-by-curves criterion for overconvergent of $F$ -isocrystals

Thomas Grubb, Kiran S. Kedlaya, James Upton

Let $X$ be a smooth scheme over a finite field. It is conjectured that a convergent $F$ -isocrystal on $X$ is overconvergent if its restriction to every curve contained in $X$ is ov…

math.NT2019

Cyclotomic Points and Algebraic Properties of Polygon Diagonals

Thomas Grubb, Christian Woll

By viewing the regular $N$ -gon as the set of $N$ th roots of unity in the complex plane we transform several questions regarding polygon diagonals into when a polynomial vanishes wh…

A cut-by-curves criterion for overconvergent of F-isocrystals

Cyclotomic Points and Algebraic Properties of Polygon Diagonals

A cut-by-curves criterion for overconvergent of $F$ -isocrystals