A construction of rational elliptic surfaces with the non-surjective boundary map on K2

A construction of rational elliptic surfaces with the non-surjective boundary map on K2

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 f...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Manuscripta mathematica 2014-03, Vol.143 (3-4), p.379-388
1. Verfasser: Ohara, Mariko
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-013-0623-0