3 citations · 4 across the 4 of their papers we have counts for
11 papers
The Categorical Local Langlands Correspondence and Anabelomorphy
Kirti Joshi
Let be a connected, split, reductive group over . In this paper I show that if and are anabelomorphic -adic fields i.e. and have t…
On Mochizuki's idea of Anabelomorphy and its applications
Kirti Joshi
I coined the term anabelomorphy (pronounced as anabel-o-morphy) as a concise way of expressing Mochizuki's idea of "anabelian way of changing ground field, rings etc." which was he…
On Primes of Ordinary and Hodge-Witt Reduction
Kirti Joshi
Jean-Pierre Serre has conjectured Conj. 3.2.1, in the context of abelian varieties, that there are infinitely primes of good ordinary reduction for a smooth, projective variety ove…
On the Grothendieck ring of varieties in positive characteristic
Kirti Joshi
This paper proves two theorems (1) Let be an algebraically closed field of characteristic . I prove (Theorem 2.1.1) that if, or , then the isomorphism cla…
The Absolute Grothendieck Conjecture is false for Fargues-Fontaine Curves
Kirti Joshi
I prove that the absolute Grothendieck Conjecture is false for Fargues-Fontaine curves.
On determinantal equations for curves and Frobenius split hypersurfaces
Kirti Joshi
I consider the problem of existence of intrinsic determinantal equations for plane projective curves and hypersurfaces in projective space and prove that in many cases of interest…