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K3 spectra

2010/01/12 by Markus Szymik · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · doi:10.1112/blms/bdp106

openalex publication_date 2010/01/12 · openalex created_date 2020/02/24 · openalex updated_date 2025/11/06

Abstract

The notion of a K3 spectrum is introduced in analogy with that of an elliptic spectrum and it is shown that there are ‘enough’ K3 spectra in the sense that for all K3 surfaces X in a suitable moduli stack of K3 surfaces there is a K3 spectrum whose underlying ring is isomorphic to the local ring of the moduli stack in X with respect to the etale topology, and similarly for the ring of formal functions on the formal deformation space.

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