We study the tropicalization of the moduli space of algebraic spin curves, S¯ g,n. We exhibit its combinatorial stratification and prove that the strata are irreducible. We construct the moduli space of tropical spin curves S¯g,ntrop, prove that is naturally isomorphic to the skeleton of the analytification, S¯g,nan, of S¯ g,n, and give a geometric interpretation of the retraction of S¯g,nan onto its skeleton in terms of a tropicalization map S¯g,nan→S¯g,ntrop.
Caporaso, L., Melo, M., Pacini, M. (2020). Tropicalizing the moduli space of spin curves. SELECTA MATHEMATICA, 26(1) [10.1007/s00029-020-0539-y].
Tropicalizing the moduli space of spin curves
Caporaso L.;Melo M.
;
2020-01-01
Abstract
We study the tropicalization of the moduli space of algebraic spin curves, S¯ g,n. We exhibit its combinatorial stratification and prove that the strata are irreducible. We construct the moduli space of tropical spin curves S¯g,ntrop, prove that is naturally isomorphic to the skeleton of the analytification, S¯g,nan, of S¯ g,n, and give a geometric interpretation of the retraction of S¯g,nan onto its skeleton in terms of a tropicalization map S¯g,nan→S¯g,ntrop.File in questo prodotto:
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