دانلود کتاب On the Derived Category of 1-motives

Name: On the Derived Category of 1-motives
Availability: InStock
Author: Luca Barbieri-viale
ISBN: 2856298370,9782856298374

by Luca Barbieri-viale, Bruno Kahn

عنوان فارسی: در مشتق دسته از 1-انگیزه
ناشر: Société Mathématique de France
سال: 2016
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 254-270
شابک: 2856298370,9782856298374
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 2.24 مگابایت

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جزییات کتاب

We embed the derived category of Deligne 1-motives over a perfect field into the étale version of Voevodsky's triangulated category of geometric motives, after inverting the exponential characteristic. We then show that this full embedding ``almost'' has a left adjoint LAlb. Applying LAlb to the motive of a variety we get a bounded complex of 1-motives, that we compute fully for smooth varieties and partly for singular varieties. Among applications, we give motivic proofs of Roĭtman type theorems and new cases of Deligne's conjectures on 1-motives.