Add to ORKG246 pagesThis is an introduction to $p$-adic geometry and $p$-adic analysis focusing on the theme of $p$-adic period mappings. We follow as closely as possible the development of the classical theory of complex period mappings, blending differential equations, group theory and geometry. The text ends with a detailed discussion of $p$-adic triangle groups
An earlier paper by Harris and Venkatesh that just appeared in Exp. Math. is good background reading...
An important tool for bounding the number of rational or torsion points on a curve is to find a func...
There are several approaches to studying moduli spaces; the most well-known in algebraic geometry is...
The aim of this master's thesis was to understand the construction of Pierre Colmer of the period ...
A systematic exposition of the basics of period domains. Suitable for advanced graduate student
AbstractThe moduli space of deformations of a formal group over a finite field is studied. We consid...
We give a generalization of p-adic congruences for truncated period functions that were originally d...
Motivated by the conjectures of Gan-Gross-Prasad, we develop a p-adic formalism for placing these co...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
This book lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their m...
The first comprehensive, unified development of the theory of p-adic differential equation
International audienceThis paper is the augmented notes of a course I gave jointly with Laurent Berg...
We prove equality of the various $p$-adic period morphisms for smooth, not necessarily proper, schem...
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
An earlier paper by Harris and Venkatesh that just appeared in Exp. Math. is good background reading...
An important tool for bounding the number of rational or torsion points on a curve is to find a func...
There are several approaches to studying moduli spaces; the most well-known in algebraic geometry is...
The aim of this master's thesis was to understand the construction of Pierre Colmer of the period ...
A systematic exposition of the basics of period domains. Suitable for advanced graduate student
AbstractThe moduli space of deformations of a formal group over a finite field is studied. We consid...
We give a generalization of p-adic congruences for truncated period functions that were originally d...
Motivated by the conjectures of Gan-Gross-Prasad, we develop a p-adic formalism for placing these co...
This introduction to recent work in p-adic analysis and number theory will make accessible to a rela...
This book lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their m...
The first comprehensive, unified development of the theory of p-adic differential equation
International audienceThis paper is the augmented notes of a course I gave jointly with Laurent Berg...
We prove equality of the various $p$-adic period morphisms for smooth, not necessarily proper, schem...
In this article we study the period map for a family of K3 surfaces which is given by the anticanon-...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
An earlier paper by Harris and Venkatesh that just appeared in Exp. Math. is good background reading...
An important tool for bounding the number of rational or torsion points on a curve is to find a func...
There are several approaches to studying moduli spaces; the most well-known in algebraic geometry is...