convex analysis 1curvature convergence 1monge-ampere equation 1point cloud approximation 1tropical geometry 1
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math.AG2026★ 3 cited
A guide to tropical modifications
Nikita Kalinin
This paper surveys {\it tropical modifications}, a notion that has become part of the folklore of tropical geometry. Tropical modifications are used in tropical intersection theory…
math.AG2025
Shrinking dynamic on multidimensional tropical series
Nikita Kalinin
We define multidimensional tropical series, i.e. piecewise linear functions which are tropical polynomials locally but may contain an infinite number of monomials. Tropical series…