4 papers · 1 filter
On the Geometry and Shapes of Rank 2 Log Unit Lattices
Jose Cruz, Erik Holmes, Fatemeh Jalalvand +3
Every number field canonically gives rise to two lattices: its ring of integers and its log unit lattice. While the shapes of the former have undergone extensive research, far less…
Gross lattices of supersingular elliptic curves
Chenfeng He, Gaurish Korpal, Ha T. N. Tran +1
Let be a prime, be a supersingular elliptic curve defined over , and be its (geometric) endomorphism ring. Earlier results of Chevyrev-Gal…
Principal Well-Rounded Ideals of real quadratic fields
Morgan Smith, Ha T. N. Tran
It has been well known since Gauss that the principality of an ideal in a real quadratic field is equivalent to the solvability of a certain generalized Pell equations. In this…
Well-Rounded Twists of the Ring of Integers in Cyclic Cubic Fields
Nam H. Le, Dat T. Tran, David Karpuk +1
Computing well-rounded twists of ideals in number fields has been done when the field degree is . In this paper, we develop a new algorithm to detect whether a basis of an ideal…