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arxiv: 1808.09116 · v1 · pith:4YV336TInew · submitted 2018-08-28 · 🧮 math.AG

Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture

classification 🧮 math.AG
keywords conjecturevoisinsomesurfacesbehavecyclesdescribesexamples
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An old conjecture of Voisin describes how $0$-cycles of a surface $S$ should behave when pulled-back to the self-product $S^m$ for $m>p_g(S)$. We exhibit some surfaces with large $p_g$ that verify Voisin's conjecture.

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