We compute the integral Chow rings of (M) over bar (1,n) for n=3,4. The alternative compactifications introduced by Smyth - and studied further by Lekili and Polishchuk - present each of these stacks as a sequence of weighted blow-ups and blow-downs from a weighted projective space. We compute all the integral Chow rings by repeated application of the blow-up formula.
Battistella, L., Di Lorenzo, A. (2025). Wall-crossing integral chow rings of M̄1, n ≤ 4. FORUM OF MATHEMATICS. SIGMA, 13, 1-28 [10.1017/fms.2025.10143].
Wall-crossing integral chow rings of M̄1, n ≤ 4
Battistella L.
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2025
Abstract
We compute the integral Chow rings of (M) over bar (1,n) for n=3,4. The alternative compactifications introduced by Smyth - and studied further by Lekili and Polishchuk - present each of these stacks as a sequence of weighted blow-ups and blow-downs from a weighted projective space. We compute all the integral Chow rings by repeated application of the blow-up formula.File in questo prodotto:
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