S-modules in the category of schemes

By P. Hu. 2003

49 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4a242d347ed4d788ca85dcd7c82bfa6008b62355

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Citations in the corpus

Equivariant symmetric monoidal structures (2016, background): “Associated to a variety V , Hu describes a tensoring operation on commutative ring spectra analogous to our norms [17].”
The special fiber of the motivic deformation of the stable homotopy category is algebraic (2018, methodology): “For example, we can take the category of S-modules constructed by Hu [26], which is a symmetric monoidal model category, and we take C-mot-Spectra as the underlying ∞category of Hu’s model category.”
Oriented Cohomology Theories of Algebraic Varieties (2003, background): “A ring structure on the algebraic cobordism theory was introduced as well in [10].”
Morita theory in abelian, derived and stable model categories (2003, methodology): “ an important tool in Voevodsky’s proof of the Milnor conjecture [Voe]. There are several stable model categories underlying this motivic stable homotopy category, see for example [Jar00b], [Hov01b], [Hu03] or [DØR]. 4.2. Symmetric ring and module spectra. In this section we give a quick introductio”
On the motivic spectra representing algebraic cobordism and algebraic $K$-theory (2007, methodology): “For sake of definiteness, we adopt the formalism of the latter; nevertheless, we refer to motivic symmetric spectra as S-modules, as they are indeed modules over the symmetric motivic sphere S. Recall that a motivic symmetric sequence is a functor from the groupoid Σ of finite sets and isomorphisms ”
Algebraic cobordisms of a Pfister quadric (2007, methodology): “, sn) with si ∈ MU(p), we can inductively construct the AMU-module spectrum (for the details of this construction, see [2, § 4] or [5]) by the cofibering of spectra”