Mathematics > Algebraic Geometry
[Submitted on 22 Dec 2018 (v1), last revised 9 May 2019 (this version, v2)]
Title:The homotopy Leray spectral sequence
View PDFAbstract:In this work, we build a spectral sequence in motivic homotopy that is analogous to both the Serre spectral sequence in algebraic topology and the Leray spectral sequence in algebraic geometry. Here, we focus on laying the foundations necessary to build the spectral sequence and give a convenient description of its $E_2$-page. Our description of the $E_2$-page is in terms of homology of the local system of fibers, which is given using a theory similar to Rost's cycle modules. We close by providing some sample applications of the spectral sequence and some hints at future work.
Submission history
From: Aravind Asok [view email][v1] Sat, 22 Dec 2018 17:57:51 UTC (52 KB)
[v2] Thu, 9 May 2019 02:36:42 UTC (53 KB)
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