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math.AG2020
Valuation rings are derived splinters
Benjamin Antieau, Rankeya Datta
We give three proofs that valuation rings are derived splinters: a geometric proof using the absolute integral closure, a homological proof which reduces the problem to checking th…
math.AG2019
Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems
Rankeya Datta, Austyn Simpson
Let be an algebraically closed field of characteristic . We show that if is an equidimensional subscheme with Hilbert--Kunz multiplicity less…
math.AG2012
Free and Very Free Morphisms into a Fermat Hypersurface
Tabes Bridges, Rankeya Datta, Joseph Eddy +2
This paper studies the existence of free and very free curves on the degree 5 Fermat hypersurface in P^5 over a field of characteristic 2. We find that such curves exist in degrees…