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math.NT2026
Equidistribution and the torsor method
Christian Bernert, Ulrich Derenthal, Florian Wilsch
We prove equidistribution and Manin's conjecture for rational points outside the lines on smooth split quintic del Pezzo surfaces over number fields with respect to any anticanonic…
math.NT2026
Integral points over number fields: a Clemens complex jigsaw puzzle
Christian Bernert, Ulrich Derenthal, Judith Ortmann +1
We prove an asymptotic formula for the number of integral points of bounded log anticanonical height on a singular quartic del Pezzo surface over arbitrary number fields, with resp…