Tropical theta functions and Riemann–Roch inequality for tropical Abelian surfaces

Tropical theta functions and Riemann–Roch inequality for tropical Abelian surfaces

We show that the space of theta functions on tropical tori is identified with a convex polyhedron. We also show a Riemann-Roch inequality for tropical abelian surfaces by calculating the self-intersection numbers of divisors.

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Veröffentlicht in:Mathematische Zeitschrift 2021-04, Vol.297 (3-4), p.1329-1351
1. Verfasser: Sumi, Ken
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We show that the space of theta functions on tropical tori is identified with a convex polyhedron. We also show a Riemann-Roch inequality for tropical abelian surfaces by calculating the self-intersection numbers of divisors.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-020-02559-9