Ruofan Jiang

activity

20222026

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Showing 2023Show all

4 papers · 1 filter

math.AG2023

Motivic Coh and Quot zeta functions of singular curves

Yifeng Huang, Ruofan Jiang

We present a general and effective algebraic framework for enumerating finite-length quotients of a torsion-free sheaf of arbitrary rank (the Quot zeta function) and finite-length…

math.NT2023

$p$ -adic monodromy and mod $p$ unlikely intersections, I

Ruofan Jiang

We formulate characteristic $p$ analogues of the Mumford--Tate and the André--Oort conjectures for ordinary mod $p$ Shimura varieties of Hodge type, and set up general frameworks f…

math.AG2023

Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity

Yifeng Huang, Ruofan Jiang

The Quot scheme of points $Quot_{d, n} (X)$ on a variety $X$ over a field $k$ parametrizes quotient sheaves of $O_{X}^{\oplus d}$ of zero-dimensional support and len…

math.NT2023

Splitting of almost ordinary abelian surfaces in families and the $S$ -integrality conjectures

Ruofan Jiang

Let $A$ be a non-isotrivial almost ordinary abelian surface with possibly bad reductions over a global function field of odd characteristic $p$ . Suppose $Δ$ is an infinite set of p…

Motivic Coh and Quot zeta functions of singular curves

p-adic monodromy and mod p unlikely intersections, I

Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity

Splitting of almost ordinary abelian surfaces in families and the S-integrality conjectures

$p$ -adic monodromy and mod $p$ unlikely intersections, I

Splitting of almost ordinary abelian surfaces in families and the $S$ -integrality conjectures