Salim Tayou

activity

20182026

most citedExceptional jumps of Picard ranks of reductions of K3 surfaces over number fields

13 citations · 15 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.NT2025

The cohomological Kudla conjecture for unitary Shimura varieties

François Greer, Salim Tayou

We construct natural extensions of the Kudla--Millson generating series of cohomology classes of special cycles in compactified unitary Shimura varieties of signature $(n + 1, 1)$ and…

math.NT2022★ 2 cited

Picard rank jumps for K3 surfaces with bad reduction

Salim Tayou

Let $X$ be a K3 surface over a number field. We prove that $X$ has infinitely many specializations where its Picard rank jumps, hence extending our previous work with Shankar--Shan…

math.NT2019★ 13 cited

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields

Ananth N. Shankar, Arul Shankar, Yunqing Tang +1

Given a K3 surface $X$ over a number field $K$ with potentially good reduction everywhere, we prove that the set of primes of $K$ where the geometric Picard rank jumps is infinite.…