2024
DOI: 10.1007/s00029-024-00956-0
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Divisors and curves on logarithmic mapping spaces

Patrick Kennedy-Hunt,
Navid Nabijou,
Qaasim Shafi
et al.

Abstract: We determine the rational class and Picard groups of the moduli space of stable logarithmic maps in genus zero, with target projective space relative a hyperplane. For the class group we exhibit an explicit basis consisting of boundary divisors. For the Picard group we exhibit a spanning set indexed by piecewise-linear functions on the tropicalisation. In both cases a complete set of boundary relations is obtained by pulling back the WDVV relations from the space of stable curves. Our proofs hinge on a control… Show more

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