4 papers
Boundedness of some fibered K-trivial varieties
Philip Engel, Stefano Filipazzi, François Greer +2
We prove that irreducible Calabi-Yau varieties of a fixed dimension, admitting a fibration by abelian varieties or primitive symplectic varieties of a fixed analytic deformation cl…
Modularity of -elliptic loci with level structure
François Greer, Carl Lian, Naomi Sweeting
We consider the generating series of special cycles on , with full level structure, valued in the cohomology of degree . The modula…
Elliptic-elliptic surfaces and the Hesse pencil
François Greer, Yilong Zhang
We construct a family of elliptic surfaces with that arise from base change of the Hesse pencil. We identify explicitly a component of the higher Noether-Lefschetz locus…
Quasi-modular forms from mixed Noether-Lefschetz theory
François Greer
The Gromov-Witten theory of threefolds admitting a smooth K3 fibration can be solved in terms of the Noether-Lefschetz intersection numbers of the fibration and the reduced invaria…