20 citations · 44 across the 9 of their papers we have counts for
9 papers
Group schemes and local densities of ramified hermitian lattices in residue characteristic 2 Part II, Expanded version
Sungmun Cho
This paper is the complementary work of [Cho16]. Ramified quadratic extensions , where is a finite unramified field extension of , fall into two cases that w…
On the local density formula and the Gross-Keating invariant with an Appendix `The local density of a binary quadratic form' by T. Ikeda and H. Katsurada
Sungmun Cho
T. Ikeda and H. Katsurada have developed the theory of the Gross-Keating invariant of a quadratic form in their recent papers [IK1] and [IK2]. In particular, they prove that the lo…
A reformulation of the Siegel series and intersection numbers
Sungmun Cho, Takuya Yamauchi
In this paper, we will explain a conceptual reformulation and inductive formula of the Siegel series. Using this, we will explain that both sides of the local intersection multipli…
Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences
Sungmun Cho, Shunsuke Yamana, Takuya Yamauchi
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourier coefficients of derivatives of the Siegel Eisenstein series of weight g/2 and…
An explicit formula for the extended Gross-Keating datum of a quadratic form
Sungmun Cho, Tamotsu Ikeda, Hidenori Katsurada +2
In this paper, we give a formula for the extended Gross-Keating datum of a quadratic form defined over a finite extension of (for ) or a finite unramified exten…
A uniform construction of smooth integral models and a recipe for computing local densities
Sungmun Cho
In this paper, we explain a simple and uniform construction of a smooth integral model associated to a quadratic, (anti)-hermitian, and (anti)-quaternionic hermitian lattice define…
Relations among smooth integral models associated to quadratic, symplectic and hermitian lattices
Sungmun Cho
This work is motivated by an investigation into whether, and if so how, certain well known facts about Lie groups manifest in the context of group schemes over rings of integers of…
Group schemes and local densities of ramified hermitian lattices in residue characteristic 2 Part I
Sungmun Cho
The obstruction to the local-global principle for a hermitian lattice (L, H) can be quantified by computing the mass of (L, H). The mass formula expresses the mass of (L, H) as a p…
Group schemes and local densities of quadratic lattices in residue characteristic 2
Sungmun Cho
The celebrated Smith-Minkowski-Siegel mass formula expresses the mass of a quadratic lattice (L, Q) as a product of local factors, called the local densities of (L,Q). This mass fo…