Comparison of Morava E-theories
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In this paper, the nth Morava E-cohomology group of a finite spectrum with action of the (n + 1)st Morava stabilizer group was shown to be recoverable.Abstract:
We show that the nth Morava E-cohomology group of a finite spectrum with action of the nth Morava stabilizer group can be recovered from the (n + 1)st Morava E-cohomology group with action of the (n + 1)st Morava stabilizer group.read more
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Book
Formal Geometry and Bordism Operations
TL;DR: In this article, a range of results in chromatic homotopy theory are organized, running a single thread through theorems in bordism and a detailed understanding of the moduli of formal groups.
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K(n)-localization of the K(n + 1)-local En+1-Adams spectral sequences
TL;DR: In this paper, a spectral sequence converging to the homotopy set of maps from a spectrum to the K n -localization of the K (n + 1)-local sphere was constructed.
Journal ArticleDOI
A relative Lubin–Tate theorem via higher formal geometry
TL;DR: In this paper, a complete local ring with residue field k is defined as a Lubin-Tate space, and the associated formal scheme LTh D Spf E h is known as Lubin Tate space, which classifies deformations of groups.
References
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Categories for the Working Mathematician
TL;DR: In this article, the authors present a table of abstractions for categories, including Axioms for Categories, Functors, Natural Transformations, and Adjoints for Preorders.
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Commutative Ring Theory
Hideyuki Matsumura,Miles Reid +1 more
TL;DR: In this article, the authors introduce the notion of complete local rings and apply it to a wide range of applications, including: I-smoothness, I-flatness revisited, and valuation rings.
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Formal Groups and Applications
TL;DR: This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics, including very important applications in algebraic topology, number theory, and algebraic geometry.