WebThe eigencurve is a rigid analytic curve over Q_p parametrizing all finite slope overconvergent modular eigencurve. It is a conjecture of Coleman-Mazur that the … WebThe 2-adic Eigencurve is Proper. Kevin Buzzard∗ Frank Calegari† July 5, 2005 1 Introduction In [7], Coleman and Mazur construct a rigid analytic space E that parameterizes overcon …
[PDF] The 2-adic Eigencurve is Proper Semantic Scholar
WebAbstract. We axiomatise and generalise the “Hecke algebra” construction of the Coleman-Mazur Eigencurve. In particular we extend the construction to general primes and levels. Furthermore we show how to use these ideas to construct “eigenvarieties” parametrising automorphic forms on totally definite quaternion algebras over totally real ... WebColeman and Mazur constructed a rigid analytic curve Cp,N, called the eigencurve, whose points correspond to all finite slope overconvergent p-adic eigenforms. We prove the … property for sale in old dalby leicestershire
[1401.4871] The Eigencurve is Proper - arXiv.org
WebAug 12, 2024 · While the very classical points appear on the eigencurve, in a sense, by construction, it is not clear a priori that there are any classical points on the eigencurve … WebJan 1, 2006 · The 2-adic eigencurve is proper Authors: Kevin Buzzard Frank Calegari 20+ million members 135+ million publication pages 2.3+ billion citations No full-text available … Webthis work was the construction of the rigid space known as the eigencurve ([9]). The existence of the eigencurve shows that the p-adic variation of certain residu-ally modular Galois representations can be interpreted automorphically. This has opened the door to a whole new field of study - a type of “p-adic” Langlands pro-gramme. property for sale in old shaw lane swindon