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Autor: Conca, A., De Negri, E., Gorla, E.

In this paper, we survey the theory of Cartwright-Sturmfels ideals. These are Z^n-graded ideals, whose multigraded generic initial ideal is radical. Cartwright-Sturmfels ideals have surprising properties, mostly stemming from the fact that their Hilb

Externí odkaz: http://arxiv.org/abs/2108.10115

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Semi-regular sequences and other random systems of equations

Autor: Bigdeli, M., De Negri, E., Dizdarevic, M. M., Gorla, E., Minko, R., Tsakou, S.

The security of multivariate cryptosystems and digital signature schemes relies on the hardness of solving a system of polynomial equations over a finite field. Polynomial system solving is also currently a bottleneck of index-calculus algorithms to

Externí odkaz: http://arxiv.org/abs/2011.01032

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