E. Shustin

activity

19982009

most citedPatchworking singular algebraic curves, non-Archimedean amoebas and enumerative geometry

32 citations · 56 across the 11 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

cs.CG2009★ 3 cited

On lines and Joints

Haim Kaplan, Micha Sharir, Eugenii Shustin

Let $L$ be a set of $n$ lines in $R^{d}$ , for $d \geq 3$ . A {\em joint} of $L$ is a point incident to at least $d$ lines of $L$ , not all in a common hyperplane. Using a very simpl…

math.AG2009

Tropical and algebraic curves with multiple points

Eugenii Shustin

Patchworking theorems serve as a basic element of the correspondence between tropical and algebraic curves, which is a core of the tropical enumerative geometry. We present a new v…