Qing Lu

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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.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

Hodge-Riemann polynomials

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