CORDIS Project
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This research focuses on semi-integral points in algebraic geometry, aiming to understand their existence and density in families of varieties. It combines techniques from number theory and algebraic geometry to explore fundamental questions in the field.
In this proposal semi-integral points refer to notions of rational points on algebraic varieties that satisfy an integrality condition with respect to a weighted boundary divisor.
They were first introduced by Campana and by Darmon.
Campana points have recently risen to the attention of the number theory community thanks to a Manin type conjecture in the recent work of Pieropan, Smeets, Tanimoto and Várilly-Alvarado.
Semi-integral points provide both an intermediate notion and a generalisation o…
INSTITUTE OF MATHEMATICS AND INFORMATICS AT THE BULGARIAN ACADEMY OF SCIENCE
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