Add to ORKGAbstract. In this paper, we reinterpret the Colmez conjecture on Faltings ’ height of CM abelian varieties in terms of Hilbert (and Siegel) modular forms. We construct an elliptic modular form involving Faltings ’ height of a CM abelian surface and arithmetic intersec-tion numbers, and prove that Colmez’s conjecture for CM abelian surfaces is equivalen
Let $F$ be a CM number field. We prove modularity lifting theorems forregular $n$-dimensional Galois...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Let F be a CM number field. We prove modularity lifting theorems for regular n-dimensional Galois re...
Abstract. In this paper, we reinterpret the Colmez conjecture on the Faltings height of CM abelian v...
We give a new proof of a slightly weaker form of a theorem of P. Colmez. This theorem gives a formul...
In this thesis we start by giving a quick review of the classical Chowla-Selberg formula. We then re...
Abstract. In this paper, we obtain an explicit arithmetic intersection formula on a Hilbert modular ...
We define modular equations in the setting of PEL Shimura varieties as equations describing Hecke co...
Final version to appear in the Journal of the London Mathematical SocietyInternational audienceWe de...
Final version to appear in the Journal of the London Mathematical SocietyWe define modular equations...
Final version to appear in the Journal of the London Mathematical SocietyWe define modular equations...
Let M be the Shimura variety associated with the group of spinor similitudes of a quadratic space ov...
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication ...
One of the conjectures claims that the Hasse-Weil zeta function corresponding to the Jacobian variet...
We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier d...
Let $F$ be a CM number field. We prove modularity lifting theorems forregular $n$-dimensional Galois...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Let F be a CM number field. We prove modularity lifting theorems for regular n-dimensional Galois re...
Abstract. In this paper, we reinterpret the Colmez conjecture on the Faltings height of CM abelian v...
We give a new proof of a slightly weaker form of a theorem of P. Colmez. This theorem gives a formul...
In this thesis we start by giving a quick review of the classical Chowla-Selberg formula. We then re...
Abstract. In this paper, we obtain an explicit arithmetic intersection formula on a Hilbert modular ...
We define modular equations in the setting of PEL Shimura varieties as equations describing Hecke co...
Final version to appear in the Journal of the London Mathematical SocietyInternational audienceWe de...
Final version to appear in the Journal of the London Mathematical SocietyWe define modular equations...
Final version to appear in the Journal of the London Mathematical SocietyWe define modular equations...
Let M be the Shimura variety associated with the group of spinor similitudes of a quadratic space ov...
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication ...
One of the conjectures claims that the Hasse-Weil zeta function corresponding to the Jacobian variet...
We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that Hirzebruch-Zagier d...
Let $F$ be a CM number field. We prove modularity lifting theorems forregular $n$-dimensional Galois...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
Let F be a CM number field. We prove modularity lifting theorems for regular n-dimensional Galois re...