4 papers
Covers of curves, Ceresa cycles, and Unlikely intersections
Tejasi Bhatnagar, Sheela Devadas, Toren D'Nelly-Warady +1
Fix a smooth, projective, geometrically integral curve of genus over a characteristic zero field. We prove that the Ceresa cycle of a v…
p-adic adelic metrics and Quadratic Chabauty I
Amnon Besser, J. Steffen Müller, Padmavathi Srinivasan
We give a new construction of -adic heights on varieties over number fields using -adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms…
Minimal regular normal crossings models of superelliptic curves
Andrew Obus, Padmavathi Srinivasan
Let be a complete discretely valued field with perfect residue field . If is a -cover with , we compute the mini…
Curve equations from expansions of 1-forms at a nonrational point
Raymond van Bommel, Edgar Costa, Bjorn Poonen +1
We exhibit an algorithm to compute equations of an algebraic curve over a computable characteristic 0 field from the power series expansions of its regular 1-forms at a nonrational…