Anticyclotomic Iwasawa theory for Hilbert modular forms | Posted on:2016-08-23 | Degree:Ph.D | Type:Dissertation | University:The Pennsylvania State University | Candidate:Wang, Haining | Full Text:PDF | GTID:1470390017979173 | Subject:Mathematics | Abstract/Summary: | | In this dissertation, we study the Iwasawa theory for Hilbert modular forms over the anticyclotomic extension of a CM field. We prove a one sided divisibility result toward the Iwasawa main conjecture. The proof relies on the first and second reciprocity law relating theta elements to Heegner points Euler system. As a by-product we also prove certain Bloch-Kato type result in the rank 0 case and a parity conjecture. | Keywords/Search Tags: | Iwasawa | | Related items |
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