18 citations · 62 across the 17 of their papers we have counts for
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math.AG2013★ 17 cited
Langlands correspondence for isocrystals and the existence of crystalline companions for curves
Tomoyuki Abe
In this paper, we show the Langlands correspondence for isocrystals on curves. This shows the existence of crystalline companion in the curve case. For the proof, we construct the…
math.AG2013★ 3 cited
On Beilinson's equivalence for -adic cohomology
Tomoyuki Abe, Daniel Caro
In this short note, we show a p-adic analogue of Beilinson's equivalence comparing two derived categories: the derived category of holonomic modules and derived category of modules…
math.AG2013★ 18 cited
Theory of weights in p-adic cohomology
Tomoyuki Abe, Daniel Caro
Let k be a finite field of characteristic p>0. We construct a theory of weights for overholonomic complexes of arithmetic D-modules with Frobenius structure on varieties over k. Th…