A Noether-Lefschetz theorem for varieties of r-planes in complete intersections

Zhi Jiang

doi:10.1215/00277630-1548484

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Home > Journals > Nagoya Math. J. > Volume 206 > Article

June 2012 A Noether-Lefschetz theorem for varieties of

r

-planes in complete intersections

Zhi Jiang

Nagoya Math. J. 206: 39-66 (June 2012). DOI: 10.1215/00277630-1548484

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Abstract

We prove a Noether-Lefschetz type theorem for varieties of $r$ -planes in complete intersections. We then use it to study the Abel-Jacobi map of planes on a smooth cubic fivefold.

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Zhi Jiang. "A Noether-Lefschetz theorem for varieties of $r$ -planes in complete intersections." Nagoya Math. J. 206 39 - 66, June 2012. https://doi.org/10.1215/00277630-1548484