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K3 spectra
Author(s) -
Szymik Markus
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp106
Subject(s) - mathematics , stack (abstract data type) , spectrum (functional analysis) , moduli space , pure mathematics , ring (chemistry) , moduli , spectral space , analogy , physics , quantum mechanics , chemistry , organic chemistry , computer science , programming language , linguistics , philosophy
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.