Algebraic cycles of a fixed degree

Hu, Wenchuan

doi:10.1090/S0002-9939-10-10311-6

Algebraic cycles of a fixed degree
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Proc. Amer. Math. Soc. 138 (2010), 2365-2373 Request permission

Abstract:

In this paper, the homotopy groups of Chow variety $C_{p,d}(\mathbb {P}^n)$ of effective $p$-cycles of degree $d$ are proved to be stable in the sense that $p$ or $n$ increases. We also obtain a negative answer to a question by Lawson and Michelsohn on homotopy groups for the space of degree two cycles.

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