4 papers
On the application of large deviation estimates to local solubility in families of varieties
Sun Woo Park, Efthymios Sofos
We apply the Gärtner--Ellis theorem on large deviations to prove a weak version of the Loughran--Smeets conjecture for general fibrations.
Large deviation principles for abelian monoids
Daniel Keliher, Sun Woo Park
Following work of Mehrdad and Zhu and of Liu, we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corolla…
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two
Stevan Gajović, Sun Woo Park
We prove that for any number field and any fixed genus , there are infinitely many non-isomorphic hyperelliptic curves of genus over whose Jacobians have rank…
Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents
Daniel Keliher, Sun Woo Park
We study the probability with which an elliptic curve , subject to some technical conditions, gains rank upon base extension to an -cubic extension with quadratic r…