92 citations · 200 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
An arithmetic intersection formula for denominators of Igusa class polynomials
Kristin Lauter, Bianca Viray
In this paper we prove an explicit formula for the arithmetic intersection number (CM(K).G1)_{\ell} on the Siegel moduli space of abelian surfaces, generalizing the work of Bruinie…
Vertical Brauer groups and del Pezzo surfaces of degree 4
Anthony Várilly-Alvarado, Bianca Viray
We show that Brauer classes of a locally solvable degree 4 del Pezzo surface X are vertical for some projection away from a plane f: X ---> P^1, i.e., that every Brauer class is ob…
On singular moduli for arbitrary discriminants
Kristin Lauter, Bianca Viray
Let d1 and d2 be discriminants of distinct quadratic imaginary orders O_d1 and O_d2 and let J(d1,d2) denote the product of differences of CM j-invariants with discriminants d1 and…
Transcendental Brauer elements via descent on elliptic surfaces
Bianca Viray
Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surf…
Computing conjugating sets and automorphism groups of rational functions
Xander Faber, Michelle Manes, Bianca Viray
Let phi and psi be endomorphisms of the projective line of degree at least 2, defined over a noetherian commutative ring R with unity. From a dynamical perspective, a significant q…