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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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Showing 2019Show all

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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 of schemes, in terms of the determinant of cohomology. The whole construction is just…

math.NT2019

Adelic geometry on arithmetic surfaces II: completed adeles and idelic Arakelov intersection theory

Weronika Czerniawska, Paolo Dolce

We work with completed adelic structures on an arithmetic surface and justify that the construction under consideration is compatible with Arakelov geometry. The ring of completed…