11 citations · 55 across the 44 of their papers we have counts for
5 papers · 1 filter
Griffiths groups of supersingular abelian varieties
B. Brent Gordon, Kirti Joshi
The Griffiths group $\Gr^r(X)$ of a smooth projective variety over an algebraically closed field is defined to be the group of homologically trivial algebraic cycles of codimen…
On ordinary forms and ordinary Galois representations
Kirti Joshi, Chandrashekhar Khare
This is a revised version of the preprint which has been available electronically for a while. The paper will now appear in J. Ramanujan Math. Soc.
Frobenius splitting and ordinarity
Kirti Joshi, C. S. Rajan
We examine the relationship between the notion of Frobenius splitting and ordinarity for varieties. We show the following: a) The de Rham-Witt cohomology groups $H^i(X, W({\mathcal…
Exotic torsion, Frobenius splitting and the slope spectral sequence
Kirti Joshi
In this note we show that Frobenius split smooth, projective threefolds are Hodge-Witt (using a criterion for the degeneration of the slope spectral sequence of smooth projective t…
A remark on potentially semi-stable representations of Hodge-Tate type (0,1)
Kirti Joshi, Minhyong Kim
In this note we complement a part of a theorem of Fontaine-Mazur. We show that if is an irreducible finite dimensional representation of the Galois group …