Galois sets of connected components and Weil restriction

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• 作者：Alessandra Bertapelle ; Cristian D. González-Avilés
• 关键词：Algebraic spaces ; Connected components ; Weil restriction
• 刊名：Mathematische Zeitschrift
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：285
• 期：1-2
• 页码：607-612
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-1823
• 卷排序：285

文摘

Let k be a field, A a finite k-algebra and X a smooth A-scheme. We describe the Galois set of connected components of the Weil restriction \(\mathfrak {R}_{A/ k}(X)\) in terms of the sets of connected components of the geometric fibers of X.