#### DOCUMENTA MATHEMATICA, Vol. 14 (2009), 191-194

Jan Nekovár

Erratum for «On the Parity of Ranks of Selmer Groups III» cf. Documenta Math. 12 (2007), 243--274

In the manuscript «On the Parity of Ranks of Selmer Groups III» Documenta Math. 12 (2007), 243--274, [1], Remark 4.1.2(4) and the treatment of archimedean $\varepsilon$-factors in 4.1.3 are incorrect. Contrary to what is stated in 0.3, the individual archimedean $\varepsilon$-factors $\varepsilon_u(M)$ ($u\mid\infty$) cannot be expressed, in general, in terms of $M_{\goth p}$, but their product can.

2000 Mathematics Subject Classification: 11G40 11R23

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