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math.NT2018
On the level of modular curves that give rise to isolated -invariants
Abbey Bourdon, Ozlem Ejder, Yuan Liu +2
We say a closed point on a curve is sporadic if has only finitely many closed points of degree at most and that is isolated if it is not in…
math.NT2017
The d-primary Brauer-Manin obstruction for Curves
Brendan Creutz, Bianca Viray, José Felipe Voloch
For a curve over a global field we consider for which integers d the d-primary part of the Brauer group can obstruct the existence of rational points. We give examples showing it i…
math.NT2012
Comparing arithmetic intersection formulas for denominators of Igusa class polynomials
Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter +2
Bruinier and Yang conjectured a formula for intersection numbers on an arithmetic Hilbert modular surface, and as a consequence obtained a conjectural formula for CM(K).G_1 under s…