Qing Lu

collaborators

4 papers

math.AG2026

Slopes and weights of $ℓ$ -adic cohomology of rigid spaces

Qing Lu, Weizhe Zheng

We prove that Frobenius eigenvalues of $ℓ$ -adic cohomology and $ℓ$ -adic intersection cohomology of rigid spaces over $p$ -adic local fields are algebraic integers and we give…

math.NT2026

Fractional parts of powers of negative rationals

Qing Lu, Weizhe Zheng

We prove that for any real number $I^¾ \neq = 0$ and any coprime integers $p > q \geq 1$ such that $I^¾$ is irrational or $q > 1$ , the image in $R / Z$ of the sequence $(Î¾(-p/…

math.NT2026

Alternating geometric progressions modulo one and Sturmian words

Qing Lu, Weizhe Zheng

Let $b \geq 2$ be an integer. Using Sturmian words we describe all irrational real numbers $I^¾$ such that the image in $R / Z$ of the sequence $(I^¾ (- b)^{n})_{n \geq 0}$ i…

math.AG2025

Hodge-Riemann polynomials

Qing Lu, Weizhe Zheng

We show that Schur classes of ample vector bundles on smooth projective varieties satisfy Hodge-Riemann relations on $H^{p, q}$ under the assumption that $H^{p - 2, q - 2}$ vanishes. Mor…

Slopes and weights of ℓ-adic cohomology of rigid spaces

Fractional parts of powers of negative rationals

Alternating geometric progressions modulo one and Sturmian words

Hodge-Riemann polynomials

Slopes and weights of $ℓ$ -adic cohomology of rigid spaces