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math.AG2016
Potentials of a family of arrangements of hyperplanes and elementary subarrangements
Andrew Prudhom, Alexander Varchenko
We consider the Frobenius algebra of functions on the critical set of the master function of a weighted arrangement of hyperplanes in $\C^k$ with normal crossings. We construct two…
math.AG2016★ 2 cited
Potentials of a Frobenius like structure and bases of a vector space
Claus Hertling, Alexander Varchenko
This paper proves the existence of potentials of the first and second kind of a Frobenius like structure in a frame which encompasses families of arrangements. Surprisingly the pro…