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On the quantum cohomology of blow-ups of four-dimensional quadrics

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arxiv 2502.13558 v1 pith:L6TDNTTL submitted 2025-02-19 math.AG

classification math.AG
keywords conjectureblow-upsfour-dimensionalalongboundcasescohomologygalkin
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abstract

We propose a conjecture relevant to Galkin's lower bound conjecture, and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane. We also show that Conjecture $\mathcal{O}$ holds in these two cases.

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