Anticyclotomic Iwasawa Theory For Hilbert Modular Forms
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Anticyclotomic Iwasawa Theory for Hilbert Modular Forms
Author | : Haining Wang |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : |
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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.
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