Scholarlink

<p>We construct adjoint <i>p</i>-adic <i>L</i>-functions generating the congruence ideal attached to Hida families. These functions interpolate the Petersson norm of any classical ordinary newform, normalized by a product of Shimura’s canonical periods. We show that, after adjusting by suitable Euler factors, they are interpolated by a regular element of Hida’s universal ordinary Hecke algebra. We also establish a link between these <i>p</i>-adic <i>L</i>-functions and the characteristic series of primitive adjoint Selmer groups.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A canonical generator for congruence ideals of Hida families

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月29日

查看全文
  • Alexandre Maksoud

摘要

We construct adjoint p-adic L-functions generating the congruence ideal attached to Hida families. These functions interpolate the Petersson norm of any classical ordinary newform, normalized by a product of Shimura’s canonical periods. We show that, after adjusting by suitable Euler factors, they are interpolated by a regular element of Hida’s universal ordinary Hecke algebra. We also establish a link between these p-adic L-functions and the characteristic series of primitive adjoint Selmer groups.