Indecomposable motivic cycles on K3 surfaces of degree 2

Ramesh Sreekantan

Indecomposable motivic cycles on K3 surfaces of degree 2

Algebraic Geometry 2024-11-12 v2

Authors: Ramesh Sreekantan

Abstract

In this paper we construct new indecomposable motivic cycles in the group $H^3_{\mathcal M}(X,{\mathbb Q}(2))$ where X is a degree 2 K3 surface. This generalizes our construction in [Sre22] for Kummer surfaces of Abelian surfaces as well as the recent work of Ma and Sato [MS23] on degree 2 K3 surfaces.

Keywords

indecomposable motivic cycles K3 surfaces degree 2 motivic cohomology Kummer surfaces

Cite

@article{arxiv.2401.01052,
  title  = {Indecomposable motivic cycles on K3 surfaces of degree 2},
  author = {Ramesh Sreekantan},
  journal= {arXiv preprint arXiv:2401.01052},
  year   = {2024}
}

Comments

19 pages. Revised version of earlier manuscript with some arguments cleaned up and typos corrected. This is to appear in the Proceedings of the Trimester on Geometry and Arithmetic of Calabi-Yau Threefolds held online by the Bhaskaracharya Pratishthana, Pune

Indecomposable motivic cycles on K3 surfaces of degree 2

Abstract

Keywords

Cite

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