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MANUSCRIPTA MATHEMATICA
Volume -, Issue -, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00229-023-01485-4
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Under certain hypotheses, we improve upon Kobayahsi-Ota's result and show that the same inclusion holds integrally for the Iwasawa main conjecture of f. Our result implies the vanishing of the Iwasawa mu-invariants of several anticyclotomic Selmer groups.
Let K be an imaginary quadratic field where p splits, p >= 5 a prime number and f an eigen-newform of even weight and level N > 3 that is coprime to p. Under the Heegner hypothesis, Kobayashi-Ota showed that one inclusion of the Iwasawa main conjecture of f involving the Bertolini-Darmon-Prasanna p-adic L-function holds after tensoring by Q(p). Under certain hypotheses, we improve upon Kobayahsi-Ota's result and show that the same inclusion holds integrally. Our result implies the vanishing of the Iwasawa mu-invariants of several anticyclotomic Selmer groups.
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