Showing math.NTShow all
3 papers · 1 filter
math.NT2025
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…
math.NT2024
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…
math.NT2023
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…