4 citations · 6 across the 4 of their papers we have counts for
5 papers
A simple formula for the Picard number of K3 surfaces of BHK type
Christopher Lyons, Bora Olcken
The BHK mirror symmetry construction stems from work Berglund and Huebsch, and applies to certain types of Calabi-Yau varieties that are birational to finite quotients of Fermat va…
The Tate Conjecture for a family of surfaces of general type with p_g=q=1 and K^2=3
Christopher Lyons
We prove a big monodromy result for a smooth family of complex algebraic surfaces of general type, with invariants p_g=q=1 and K^2=3, that has been introduced by Catanese and Cilib…
Some results on surfaces with p_g=q=1 and K^2=2
Paul Lewis, Christopher Lyons
Following an idea of Ishida, we develop polynomial equations for certain unramified double covers of surfaces with p_g=q=1 and K^2=2. Our first main result provides an explicit sur…
The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order
Paola Comparin, Christopher Lyons, Nathan Priddis +1
We consider K3 surfaces that possess certain automorphisms of prime order p>2 and we present, for these surfaces, a correspondence between the mirror symmetry of Berglund-Huebsch-C…
A rank inequality for the Tate Conjecture over global function fields
Christopher Lyons
Following D. Ramakrishnan, we explain how L. Lafforgue's modularity theorem and an analytic theorem of H. Jacquet and J. Shalika can be applied to prove the following result relate…