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.AG2019

Explicit Deligne pairing

Paolo Dolce

We give an explicit formula for the Deligne pairing for a proper and flat morphisms $f : X \to S$ of schemes, in terms of the determinant of cohomology. The whole construction is just…

math.AG2018★ 1 cited

Adelic geometry on arithmetic surfaces I: idelic and adelic interpretation of the Deligne pairing

Paolo Dolce

For an arithmetic surface $X \to B = Spec O_{K}$ the Deligne pairing $\left <\,,\,\right > \colon \operatorname{Pic}(X) \times \operatorname{Pic}(X) \to \operatorname{Pic…