1 citations · 3 across the 11 of their papers we have counts for
6 papers · 1 filter
Inverse curve problems on del Pezzo surfaces
Enis Kaya, Stephen McKean, Sam Streeter +1
We classify the number of -rational lines and conic fibrations on del Pezzo surfaces over a field in terms of relatively minimal surfaces and establish rational curve analog…
Jumps of Jacobians via orthogonal canonical forms
Enis Kaya, Michaël Maex, Art Waeterschoot
Given a smooth, proper curve over a discretely valued field , we equip the -vector space with a canonical discrete valuation which m…
Computation of Admissible Arakelov-Green Functions on Metrized Graphs
Ruben Merlijn van Dijk, Enis Kaya
Metrized graphs are nonarchimedean analogues of Riemann surfaces, and Arakelov-Green functions on these graphs are of fundamental importance for some aspects of arithmetic geometry…
Sampling from -adic algebraic manifolds
Yassine El Maazouz, Enis Kaya
We present a method for sampling points from an algebraic manifold, either affine or projective, defined over a local field, with a prescribed probability distribution. Inspired by…
Tropical invariants for binary quintics and reduction types of Picard curves
Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya
We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated t…
Lines on -adic and real cubic surfaces
Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya +1
We study lines on smooth cubic surfaces over the field of -adic numbers, from a theoretical and computational point of view. Segre showed that the possible counts of such lines…