Marcelo Paredes

activity

20192022

most citedUniform bounds for the number of rational points on varieties over global fields

13 citations · 15 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.NT2019★ 2 cited

The inverse sieve problem for algebraic varieties over global fields

Juan Manuel Menconi, Marcelo Paredes, Román Sasyk

Let $K$ be a global field and let $Z$ be a geometrically irreducible algebraic variety defined over $K$ . We show that if a big set $S \subseteq Z$ of rational points of bounded heig…

math.NT2019

Ill-distributed sets over global fields and exceptional sets in Diophantine Geometry

Marcelo Paredes

Let $K \subseteq R$ be a number field. Using techniques of discrete analysis, we prove that for definable sets $X$ in $R_{e x p}$ of dimension at most $2$ a conject…