20 citations · 44 across the 9 of their papers we have counts for
4 papers · 2 filters
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…