Deformation of K-theoretic cycles
Algebraic Geometry
2018-02-06 v4
Abstract
By using higher K-theory, we study deformation theory of K-theoretic cycles. As an application, we answer two questions posed by Mark Green and Philip Griffiths: (1). How to define tangent spaces to cycle class groups in general? (2). Obstruction issues. The highlight is the appearance of negative K-groups which detects the obstructions to deforming cycles.
Cite
@article{arxiv.1603.01008,
title = {Deformation of K-theoretic cycles},
author = {Sen Yang},
journal= {arXiv preprint arXiv:1603.01008},
year = {2018}
}
Comments
Add Theorem 2.13 etc