A construction of rational elliptic surfaces with the non-surjective boundary map on K 2

manuscripta mathematica - Tập 143 - Trang 379-388 - 2013
Mariko Ohara1
1Mathematical Institute, Tohoku University, Aoba, Japan

Tóm tắt

We present some rational elliptic surfaces over a certain field such that certain open subschemes do not satisfy the surjectivity of the boundary map on K 2 arising from the localization sequence. We consider two cases that the base field is transcendental over its prime subfield and that the base field is characteristic zero.

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