Author

Yuxin Lin

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Preprint Sep 2026

Density of $\mu$-ordinary Primes for K3 Surfaces

By a result of Bogomolov and Zarhin, a K3 surface $X$ over a number field $L$ has ordinary reduction at a density 1 set of primes after passing to a finite extension of $L$. In this paper, we refine this result for non-CM K3 surfaces whose transcendental Hodge structure has endomorphism field $F$ abelian over $\mathbb{...

Trung Can, Yu-Xin Lin · 0 citations

Preprint Aug 2026

A $k$-Dimensional Version of the Largest Intersection Problem

Suppose we have $r$ linearly independent hypersurfaces of degree $d$ in $\mathbb{P}^m$ (or $\mathbb{A}^m$) defined over a finite field $\mathbb{F}_q$, whose intersection is at most $k$-dimensional. What is the largest possible number of $\mathbb{F}_q$-rational points in the intersection? We conjecture an exact formula...

Yu-Xin Lin · 0 citations