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arXiv · 2408.06893

Universally defined cycles I

Claire Voisin
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Abstract

We introduce and study the notion of universally defined cycles of smooth varieties of dimension $d$, and prove that they are given by polynomials in the Chern classes. A similar result is proved for universally defined cycles on products of smooth varieties. We also state a conjectural explicit form for universally defined cycles on powers of smooth varieties, and provide some steps towards establishing it.

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Claire Voisin. 2024-08-13. Universally defined cycles I. https://arxiv.org/abs/2408.06893

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