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Zero cycles with modulus and zero cycles on singular varieties

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Binda, Federico ; Krishna, Amalendu
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Date of publication of this fulltext: 22 Nov 2019 10:20


Given a smooth variety X and an effective Cartier divisor D subset of X, we show that the cohomological Chow group of 0-cycles on the double of X along D has a canonical decomposition in terms of the Chow group of 0-cycles CH0(X) and the Chow group of 0-cycles with modulus CH0(X|D) on X. When X is projective, we construct an Albanese variety with modulus and show that this is the universal ...


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