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The arithmetic fundamental lemma: An update

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Abstract

This is an expository article on the recent progress on the arithmetic fundamental lemma conjecture, based largely on Zhang (2019). Beside stating the local conjecture, we will present three global intersection problems along with some constructions of algebraic cycles.

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Acknowledgements

This work was supported by the National Science Foundation of USA (Grant No. DMS #1901642). The author thanks the referees for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Wei Zhang

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  1. Wei Zhang
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Correspondence to Wei Zhang.

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Dedicated to Professor Lo Yang on the Occasion of His 80th Birthday

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Zhang, W. The arithmetic fundamental lemma: An update. Sci. China Math. 62, 2409–2422 (2019). https://doi.org/10.1007/s11425-019-9559-4

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  • DOI: https://doi.org/10.1007/s11425-019-9559-4

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