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arxiv: 1502.07897 · v2 · pith:JH545S3Gnew · submitted 2015-02-27 · 🧮 math.AG

Decomposable cycles and Noether-Lefschetz loci

classification 🧮 math.AG
keywords cyclesdecomposableclassesdegreeequivalenceexistgroupinteger
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We prove that there exist smooth surfaces of degree d in projective 3-space such that the group of rational equivalence classes of decomposable 0-cycles has rank at least the integer part of (d-1)/3.

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