English

K3 spectra

Algebraic Topology 2020-02-13 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2002.04879,
  title  = {K3 spectra},
  author = {Markus Szymik},
  journal= {arXiv preprint arXiv:2002.04879},
  year   = {2020}
}

Comments

23 pages

R2 v1 2026-06-23T13:39:20.781Z