منابع مشابه
Six Lectures on Motives
These lecture notes are taken from my lecture series in the Asian-French summer school on motives and related topics. My goal in my lectures was two-fold: to give first of all a sketch of Voevodsky’s foundational construction of the triangulated category of motives and its basic properties, and then to give an idea of some of the applications and wider vistas this construction has made possible...
متن کاملTensor Structure on Smooth Motives
Grothendieck first defined the notion of a “motif” as a way of finding a universal cohomology theory for algebraic varieties. Although this program has not been realized, Voevodsky has constructed a triangulated category of geometric motives over a perfect field, which has many of the properties expected of the derived category of the conjectural abelian category of motives. The construction of...
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Log-structured applications and file systems have been used to achieve high write throughput by sequentializing writes. Flash-based storage systems, due to flash memory’s out-of-place update characteristic, have also relied on log-structured approaches. Our work investigates the impacts to performance and endurance in flash when multiple layers of log-structured applications and file systems ar...
متن کاملBiextensions of 1-motives by 1-motives
Let S be a scheme. In this paper, we define the notion of biextensions of 1-motives by 1-motives. Moreover, if M(S) denotes the Tannakian category generated by 1-motives over S (in a geometrical sense), we define geometrically the morphisms of M(S) from the tensor product of two 1-motives M1⊗M2 to another 1-motive M3, to be the isomorphism classes of biextensions of (M1, M2) by M3: HomM(S)(M1 ⊗...
متن کاملBirational motives, I: pure birational motives
In the preprint [19], we toyed with birational ideas in three areas of algebraic geometry: plain varieties, pure motives in the sense of Grothendieck, and triangulated motives in the sense of Voevodsky. These three themes are finally treated separately in revised versions. The first one was the object of [21]; the second one is the object of the present paper; we hope to complete the third one ...
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ژورنال
عنوان ژورنال: Tunisian Journal of Mathematics
سال: 2020
ISSN: 2576-7666,2576-7658
DOI: 10.2140/tunis.2020.2.733