Segal conjecture fails for truncated polynomial algebras over higher chromatic local fields, causing Lichtenbaum-Quillen property to fail while weak redshift conjecture holds.
Schlank, and Alle Yuan, The Chromatic Nullstellensatz , Annals of Mathematics (to appear)
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Proves a nilpotence theorem for rational rigid 2-rings of moderate growth and shows such categories have enough tt-fields of the form Perf(L) for even 2-periodic fields L.
Compiles a list of equivalent formulations of Hilbert's Nullstellensatz in infinite dimensions and proves persistence of the strong Nullstellensatz in large polynomial rings.
citing papers explorer
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Algebraic K-theory of finite algebras over higher local fields
Segal conjecture fails for truncated polynomial algebras over higher chromatic local fields, causing Lichtenbaum-Quillen property to fail while weak redshift conjecture holds.
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A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
Proves a nilpotence theorem for rational rigid 2-rings of moderate growth and shows such categories have enough tt-fields of the form Perf(L) for even 2-periodic fields L.
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Infinite Versions of Hilbert's Nullstellensatz
Compiles a list of equivalent formulations of Hilbert's Nullstellensatz in infinite dimensions and proves persistence of the strong Nullstellensatz in large polynomial rings.