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20242026
most citedMonodromy groups of indecomposable coverings of bounded genus

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2026

Hilbert irreducibility for algebraic points

Borys Kadets, Danny Neftin

We study the following problem: given a covering of curves over a number field , and an integer , when is the set \[\{p \in X_0(\overline{k})|\ \mathrm{de…

math.NT2026

The Davenport-Lewis-Schinzel problem on the reducibility of

Angelot Behajaina, Joachim König, Danny Neftin

We solve the problem of Davenport--Lewis--Schinzel (DLS), originating in the 1950s, regarding the reducibility of . This yields an almost-complete solut…

math.NT2026

Monodromy groups of polynomials of composition length 2

Angelot Behajaina, Joachim König, Danny Neftin

We study the monodromy groups of compositions of two indecomposable polynomials. In particular, we show that such monodromy groups either fulfill a certain ``largeness" property, o…

math.GR2025

Low-genus primitive monodromy groups with a nonunique minimal normal subgroup

Spencer Gerhardt, Eilidh McKemmie, Danny Neftin

Let be a Riemann surface, and let be an indecomposable (branched) covering of genus and degree whose monodromy group has more than one m…

math.AG2024

Monodromy groups of product type

Danny Neftin, Michael E. Zieve

The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves of suffic…

math.AG2024★ 2 cited

Monodromy groups of indecomposable coverings of bounded genus

Danny Neftin, Michael E. Zieve

For each nonnegative integer , we classify the ramification types and monodromy groups of indecomposable coverings of complex curves where has genus , under t…