4 papers
Ideal class monoids of cubic orders
Sungmun Cho, Jungtaek Hong, Yuchan Lee
Let be an order in a number field, let be its ideal class monoid, and let act on it by multiplication. The local-global product for…
Global geometrization of local smooth integral models in the Hitchin fibration for : The Bass case
Sungmun Cho, Jungtaek Hong
In previous joint work, we proposed a new method to study local orbital integrals for (where or in the Bass case), by employing a smoothening method of a cert…
An upper bound for the size of the ideal class monoid
Sungmun Cho, Jungtaek Hong, Yuchan Lee
The ideal class monoid for an order in a finite field extension of a number field, denoted by , is a fundamental object to study in number theo…
Orbital integrals and ideal class monoids for a Bass order
Sungmun Cho, Jungtaek Hong, Yuchan Lee
A Bass order is an order in a number field for which every fractional ideal can be generated by two elements. Examples include quadratic orders, orders containing the maximal order…