4 papers
The Degree of Irrationality of del Pezzo Surfaces
Adam Logan, Anthony Várilly-Alvarado, David Zureick-Brown
For an irreducible variety over a field , the degree of irrationality is the minimal degree of a dominant rational map $X \dashrightarrow \mathbb{P}…
The Kodaira dimension of Hilbert modular threefolds
Adam Logan
Following a method introduced by Thomas-Vasquez and developed by Grundman, we prove that many Hilbert modular threefolds of arithmetic genus and are of general type, and th…
Rings of Hilbert modular forms, computations on Hilbert modular surfaces, and the Oda-Hamahata conjecture
Adam Logan
The modularity of an elliptic curve can be expressed either as an analytic statement that the -function is the Mellin transform of a modular form, or as a geometri…
The automorphisms of certain Kummer surfaces act on the points mod by the alternating group
Adam Logan, Owen Patashnick
For the family of Kummer surfaces of the square of an elliptic curve over the prime field with odd, we show that if the automorphism group acts transitively on t…