The topics that we will discuss have their origin in Mazur's synthesis of the theory of elliptic
curves and Iwasawa's theory of Zlp-extensions in the early 1970s. We first recall some …

Let E/Q be a modular elliptic curve of conductor N, and let p be a prime number. In [MTT],
Mazur, Tate and Teitelbaum formulate a p-adic analogue of the conjecture of Birch and …

Mazur’s conjecture on higher Heegner points Page 1 Digital Object Identifier (DOI) 10.1007/s002220100199
Invent. math. 148, 495–523 (2002) Mazur’s conjecture on higher Heegner points Christophe …

In Bull. Soc. Math. France 115 (1987), 399–456, Perrin-Riou formulates a form of the
Iwasawa main conjecture which relates Heegner points to the Selmer group of an elliptic …

Abstract Let E∕ ℚ be an elliptic curve of conductor N, let p> 3 be a prime where E has good
ordinary reduction, and let K be an imaginary quadratic field satisfying the Heegner …

This paper is the same as ANT-0265, but with a few minor mistakes corrected. Let E be an
elliptic curve over Q with good ordinary reduction at a prime p. We show that the parity of the …

Abstract Let E/QE/Q be an elliptic curve and p an odd prime where E has good reduction,
and assume that E admits a rational p-isogeny. In this paper we study the anticyclotomic …

More precisely, Kolyvagin showed that| Ш (E/K)| divides a certain multiple of [E (K): Zy] 2.
Kolyvagin's result (K) has been generalized in several directions: Kolyvagin and Logacev …

Let p≥ 5 be a prime number, E/Q an elliptic curve with good supersingular reduction at p
and K an imaginary quadratic field such that the root number of E over K is+ 1. When p is …

Let f be a newform of weight 2 and squarefree level N. Its Fourier coefficients generate a ring
Of whose fraction field Kf has finite degree over Q. Fix an imaginary quadratic field K of …