TY  - JOUR
A1  - Möller, Martin
A1  - Ulirsch, Martin
A1  - Werner, Annette
T1  - Realizability of tropical canonical divisors
T2  - Journal of the European Mathematical Society
N2  - We use recent results by Bainbridge–Chen–Gendron–Grushevsky–Möller on compactifications of strata of abelian differentials to give a comprehensive solution to the realizability problem for effective tropical canonical divisors in equicharacteristic zero. Given a pair (Γ,D) consisting of a stable tropical curve Γ and a divisor D in the canonical linear system on Γ, we give a purely combinatorial condition to decide whether there is a smooth curve X over a non-Archimedean field whose stable reduction has Γ as its dual tropical curve together with an effective canonical divisor KX that specializes to D.
KW  - Tropical geometry
KW  - moduli spaces
KW  - Hodge bundle
KW  - abelian differentials
KW  - canonical divisors
KW  - flat surfaces
KW  - Berkovich spaces
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/79943
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-799433
SN  - 1435-9863
VL  - 23.2021
IS  - 1
SP  - 185
EP  - 217
PB  - European Mathematical Society Publ..
CY  - Paris
ER  -