| 書目名稱 | Commutative Group Schemes |
| 編輯 | F. Oort |
| 視頻video | http://file.papertrans.cn/231/230766/230766.mp4 |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern- ing abelian schemes over a locally noetherian prescheme. The prelim- inaries for these considerations are brought together in chapter I. SERRE described properties of the category of commutative quasi-algebraic groups by introducing pro-algebraic groups. In char8teristic zero the situation is clear. In characteristic different from zero information on finite group schemee is needed in order to handle group schemes; this information can be found in work of GABRIEL. In the second chapter these ideas of SERRE and GABRIEL are put together. Also extension groups of elementary group schemes are determined. A suggestion in a paper by MANIN gave crystallization to a fee11ng of symmetry concerning subgroups of abelian varieties. In the third chapter we prove that the dual of an abelian scheme and the linear dual of a finite subgroup scheme are related in a very natural way. Afterwards we became aware that a special case of this theorem was alr |
| 出版日期 | Book 1966 |
| 關(guān)鍵詞 | Abelian variety; Group; Kommutative Algebra; Mathematik; algebra |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0097479 |
| isbn_softcover | 978-3-540-03598-5 |
| isbn_ebook | 978-3-540-37171-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1966 |
|Archiver|手機版|小黑屋|
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