A remark on the Chow ring of Sicilian surfaces
classification
🧮 math.AG
keywords
surfaceschowconjecturesicilianzeroblochcoherentcohomology
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We propose a "Bloch type" conjecture for surfaces: if the cup product map in coherent cohomology is zero, then all intersections of homologically trivial divisors should be zero in the Chow group of zero-cycles. We prove this conjecture for Sicilian surfaces.
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