This is a survey article to explain a main result of the author s recent preprint (joint work with T. Yamauchi) [CY]
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Abstract We formulate and prove a local arithmetic Siegel–Weil formula for GSpin Rapo...
We give an explicit formula for the arithmetic intersection number of CM cycles on Lubin-Tate spaces...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourie...
Thesis advisor: Ben HowardThe results in this dissertation are on the intersection behavior of certa...
Eine wichtige Invariante von Modulkurven ist die arithmetische Selbstschnittzahl der relativ dualisi...
A generalization of Serre's $p$-adic Eisenstein series in the case of Siegel modular forms is studie...
There is no stable Siegel modular form that vanishes on the trigonal locus in every moduli space of ...
We report on recent joint work with Tonghai Yang [BY] on a conjecture of Kudla relating the arithmet...
This dissertation treats various topics in the theory of Siegel modular forms on congruence subgroup...
n this work we obtain algebraicity results on special L-values attached to Siegel–Jacobi modular for...
A holomorphic torsion invariant of K3 surfaces with involution was introduced by the author [Yoshika...
In this article we prove some level lowering results for Siegel modular forms of degree $2$ with par...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Abstract We formulate and prove a local arithmetic Siegel–Weil formula for GSpin Rapo...
We give an explicit formula for the arithmetic intersection number of CM cycles on Lubin-Tate spaces...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
We give a formula for certain values and derivatives of Siegel series and use them to compute Fourie...
Thesis advisor: Ben HowardThe results in this dissertation are on the intersection behavior of certa...
Eine wichtige Invariante von Modulkurven ist die arithmetische Selbstschnittzahl der relativ dualisi...
A generalization of Serre's $p$-adic Eisenstein series in the case of Siegel modular forms is studie...
There is no stable Siegel modular form that vanishes on the trigonal locus in every moduli space of ...
We report on recent joint work with Tonghai Yang [BY] on a conjecture of Kudla relating the arithmet...
This dissertation treats various topics in the theory of Siegel modular forms on congruence subgroup...
n this work we obtain algebraicity results on special L-values attached to Siegel–Jacobi modular for...
A holomorphic torsion invariant of K3 surfaces with involution was introduced by the author [Yoshika...
In this article we prove some level lowering results for Siegel modular forms of degree $2$ with par...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Abstract We formulate and prove a local arithmetic Siegel–Weil formula for GSpin Rapo...
We give an explicit formula for the arithmetic intersection number of CM cycles on Lubin-Tate spaces...