Anticyclotomic Iwasawa Theory for Hilbert Modular Forms
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Author | : Haining Wang |
Publisher | : |
Total Pages | : |
Release | : 2015 |
ISBN-10 | : OCLC:943063902 |
ISBN-13 | : |
Rating | : 4/5 (02 Downloads) |
Book Synopsis Anticyclotomic Iwasawa Theory for Hilbert Modular Forms by : Haining Wang
Book excerpt: 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.