Algebraic cycles of a fixed degree
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- by Wenchuan Hu PDF
- 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.References
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Additional Information
- Wenchuan Hu
- Affiliation: Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540
- Email: wenchuan@math.ias.edu
- Received by editor(s): October 16, 2009
- Received by editor(s) in revised form: November 27, 2009
- Published electronically: February 25, 2010
- Additional Notes: This material is based upon work supported by the NSF under agreement No. DMS-0635607.
- Communicated by: Jon G. Wolfson
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2365-2373
- MSC (2010): Primary 14C25; Secondary 14F35, 14F45
- DOI: https://doi.org/10.1090/S0002-9939-10-10311-6
- MathSciNet review: 2607865