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math.AG2018
Higher-distance commuting varieties
Madeleine Elyze, Alexander Guterman, Ralph Morrison +1
The commuting variety of matrices over a given field is a well-studied object in linear algebra and algebraic geometry. As a set, it consists of all pairs of square matrices with e…
math.CO2018
Kräuter conjecture on permanents is true
Mikhail V. Budrevich, Alexander E. Guterman
In this paper we investigate the permanent of -matrices over fields of zero characteristics and our main goal is to provide a sharp upper bound for the value of the permane…