Ashay Burungale, Francesc Castella, Chan-Ho Kim
Published 2018-06-05Version 1
We discuss the application of the indivisibility of derived Heegner points \`{a} la Wei Zhang to the main conjecture for Heegner points \`{a} la Perrin-Riou. As a result, we upgrade the divisibility via the Heegner point Kolyvagin systems \`{a} la Howard to the predicted equality for rank one elliptic curves of not necessarily square-free conductor.
Sum-factor decompositions in rings and arithmetic applications I
An introduction to Casimir bilinear pairings and some arithmetic applications
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