R. Krishnamoorthy

activity

20202024

most citedDeformation theory of periodic Higgs-de Rham flows

4 citations · 4 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.AG2024

Constructing abelian varieties from rank 3 Galois representations with real trace field

Raju Krishnamoorthy, Yeuk Hay Joshua Lam

Let $U / K$ be a smooth affine curve over a number field and let $L$ be an irreducible rank 3 $Q_{ℓ}$ -local system on $U$ with trivial determinant and infinite…

math.AG2023

Frobenius trace fields of cohomologically rigid local systems

Raju Krishnamoorthy, Yeuk Hay Joshua Lam

Let $X / C$ be a smooth variety with simple normal crossings compactification $X ˉ$ , and let $L$ be an irreducible $Q_{ℓ}$ -local system on $X$ wit…

math.AG2022

The Manin-Mumford conjecture in genus 2 and rational curves on K3 surfaces

Philip Engel, Raju Krishnamoorthy, Daniel Litt

Let $A$ be a simple abelian surface over an algebraically closed field $k$ . Let $S \subset A (k)$ be the set of torsion points $x$ of $A$ such that there exists a genus $2$ curve $C$ …

math.AG2020

Finiteness of logarithmic crystalline representations II

Raju Krishnamoorthy, Jinbang Yang, Kang Zuo

Let $K$ be an unramified $p$ -adic local field and let $W$ be the ring of integers of $K$ . Let $(X, S) / W$ be a smooth proper scheme together with a simple normal crossings divisor an…

math.AG2020

Finiteness of logarithmic crystalline representations

Raju Krishnamoorthy, Jinbang Yang, Kang Zuo

Let $K$ be an unramified $p$ -adic local field and let $W$ be the ring of integers of $K$ . Let $(X, S) / W$ be a smooth proper scheme together with a normal crossings divisor. We show…

math.AG2020★ 4 cited

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…