24 citations · 93 across the 20 of their papers we have counts for
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math.AG2013★ 8 cited
Tropical approach to Nagata's conjecture in positive characteristic
Nikita Kalinin
Suppose that there exists a hypersurface with the Newton polytope , which passes through a given set of subvarieties. Using tropical geometry, we associate a subset of to ea…
math.AG2013★ 4 cited
The Newton polygon of a planar singular curve and its subdivision
Nikita Kalinin
Let a planar algebraic curve be defined over a valuation field by an equation . Valuations of the coefficients of define a subdivision of the Newton polygon o…