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Author

Sudip Pandit

2 papers indexed here

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Preprint Aug 2026

A Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varieties

We provide an explicit bound for the image of the Zilber--Pink locus of a curve in an abelian variety under reduction modulo a suitably large prime $p$. We also provide a new proof of finiteness of the Zilber--Pink locus. Under further assumptions on the abelian variety, we prove a bound on the size of the locus.

Netan Dogra, Sudip Pandit · 2 citations
Preprint Sep 2026

Delta Characters and Filtered Isocrystals

Given an abelian scheme $A$ over a $p$-adic ring $R$, Borger and Saha constructed a filtered module $\{\mathbf{H}_\delta(A) \supset \mathbf{X}_{\mathrm{prim}}(A)\supset \{0\}\}$ with a semilinear operator $\mathfrak{f}^*$ on $\mathbf{H}_\delta(A)$ using the theory of arithmetic jet spaces. The above object admits a can...

Lance Gurney, Sudip Pandit, Arnab Saha · 0 citations

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