Moduli dimensions of lattice polygons
نویسندگان
چکیده
Given a lattice polygon P with g interior points, we can associate to $$P$$ two moduli spaces: the space of algebraic curves that are non-degenerate respect and tropical genus Newton P. We completely classify possible dimensions such have in case. For non-hyperelliptic polygons, dimension must be between $$2g+1$$ take on any integer value this range, exceptions only cases 3, 4, 7. provide similar result for hyperelliptic which range is from $$2g-1$$ . In case our results also hold
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2021
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-021-01062-6