共代数形式曲线谱与谱喷空间

IF 2 1区数学

Geometry & Topology Pub Date : 2019-04-24 DOI:10.2140/gt.2020.24.1

E. Peterson

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引用次数: 4

摘要

将方案上一个几何点的余切空间的代数-几何构造引入同伦理论。专门研究高度为d的Morava $K$-理论的局部光谱范畴，我们证明了这可以用来产生确定性球体的无选择模型以及K(\mathbb Z_p, d+1)$的有效皮卡德分级元胞分解。将这些思想与Westerland的工作结合起来，我们给出了$K(d)$局部球的Iwasawa扩展的“Snaith定理”。

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Coalgebraic formal curve spectra and spectral jet spaces

We import into homotopy theory the algebro-geometric construction of the cotangent space of a geometric point on a scheme. Specializing to the category of spectra local to a Morava $K$-theory of height $d$, we show that this can be used to produce a choice-free model of the determinantal sphere as well as an efficient Picard-graded cellular decomposition of $K(\mathbb Z_p, d+1)$. Coupling these ideas to work of Westerland, we give a "Snaith's theorem" for the Iwasawa extension of the $K(d)$-local sphere.

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.