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math.AT2013
The Alexander polynomial as an intersection of two cycles in a symmetric power
Nikita Kalinin
We consider a braid which acts on a punctured plane. Then we construct a local system on this plane and find a homology cicle in its symmetric power such that …
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…