4 citations · 20 across the 14 of their papers we have counts for
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Periodicity of Hitchin's uniformizing Higgs bundles
Raju Krishnamoorthy, Mao Sheng
We link the periodicity of Hitchin's uniformizing Higgs bundle with the arithmetic geometry of its underlying curve. Some new relations are discovered. We also speculate on the who…
Periodic de Rham bundles over curves
Raju Krishnamoorthy, Mao Sheng
In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We c…
Finiteness of logarithmic crystalline representations II
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a simple normal crossings divisor an…
Finiteness of logarithmic crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a normal crossings divisor. We show…
Deformation theory of periodic Higgs-de Rham flows
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
In this note we study the deformation theory of periodic (logarithmic) Higgs-de Rham flows. Under suitable numerical assumptions, this is equivalent to the deformation theory of to…
A Lefschetz theorem for crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary…
Rank 2 local systems and abelian varieties II
Raju Krishnamoorthy, Ambrus Pál
Let be a smooth, geometrically connected, quasiprojective variety. Let be a semisimple overconvergent -isocrystal on . Suppose that irreducib…