Paolo Dolce

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20182023

most citedOn the generalisation of Roth's theorem

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

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math.NT2023

A note on some Diophantine inequalities over adelic curves

Paolo Dolce

Without assuming the Northcott property we provide an upper bound on the number of "big solutions" of a special system of Diophantine inequalities over proper adelic curves. This s…

math.NT2023

Intersection matrices for the minimal regular model of $X_{0} (N)$ and applications to the Arakelov canonical sheaf

Paolo Dolce, Pietro Mercuri

Let $N > 1$ be an integer coprime to $6$ such that $N \in / {5, 7, 13}$ and let $g = g (N)$ be the genus of the modular curve $X_{0} (N)$ . We compute the intersection matrices relative to s…

A note on some Diophantine inequalities over adelic curves

Intersection matrices for the minimal regular model of X0​(N) and applications to the Arakelov canonical sheaf

Intersection matrices for the minimal regular model of $X_{0} (N)$ and applications to the Arakelov canonical sheaf