19 citations · 66 across the 16 of their papers we have counts for
4 papers · 2 filters
Compact moduli of Enriques surfaces with a numerical polarization of degree 2
Valery Alexeev, Philip Engel, D. Zack Garza +1
We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compac…
Periods of elliptic surfaces with
Philip Engel, François Greer, Abigail Ward
We prove that the period mapping is dominant for elliptic surfaces over an elliptic curve with 12 nodal fibers, and that its degree is larger than 1.
On the non-abelian Hodge locus I
Philip Engel, Salim Tayou
We partially resolve conjectures of Deligne and Simpson concerning -local systems on quasi-projective varieties that underlie a polarized variation of Hodge structure.…
Mixed mock modularity of special divisors
Philip Engel, François Greer, Salim Tayou
We prove that the generating series of special divisors in toroidal compactifications of orthogonal Shimura varieties is a mixed mock modular form. More precisely, we find an expli…