Characterization of tropical planar curves up to genus six
Ayush Kumar Tewari
TL;DR
This paper introduces new criteria to determine the realizability of smooth tropical plane curves and offers a complete classification of such curves up to genus six.
Contribution
It presents novel forbidden criteria for realizability and achieves a comprehensive classification of tropical plane curves up to genus six.
Findings
New forbidden criteria for realizability of tropical curves
Complete classification of smooth tropical plane curves up to genus six
Enhanced understanding of tropical curve realizability conditions
Abstract
We provide new forbidden criterion for realizability of smooth tropical plane curves. This in turn provides us a complete classification of smooth tropical plane curves up to genus six.
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Taxonomy
TopicsPolynomial and algebraic computation