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arXiv · 2602.15685

Upper bounds for logarithmic Gromov-Witten invariants of projective space

Dan Simms
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Abstract

We provide an upper bound for the genus zero logarithmic Gromov-Witten invariants of projective space relative to its toric boundary. The upper bound is polynomial in the contact orders, with degree depending on the number of marked points. The result hinges on the positivity of intersections for projective spaces.

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Dan Simms. 2026-02-17. Upper bounds for logarithmic Gromov-Witten invariants of projective space. https://arxiv.org/abs/2602.15685

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