Abstract
AbstractWe construct qualitatively new examples of superabundant tropical curves which are non‐realisable in genuses 3 and 4. These curves are in and , respectively, and have properties resembling canonical embeddings of genus 3 and 4 algebraic curves. In particular, the genus 3 example is a degree 4 planar tropical curve, and the genus 4 example is contained in the product of a tropical line and a tropical conic. They have excess dimension of deformation space equal to 1. Non‐realisability follows by combining this with a dimension calculation for the corresponding space of logarithmic curves.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call