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math.RA2025
Independence Polynomials of 2-step Nilpotent Lie Algebras
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
Motivated by the Dani-Mainkar construction, we extend the notion of independence polynomial of graphs to arbitrary 2-step nilpotent Lie algebras. After establishing efficiently com…
math.NT2025
Invertible Calabi-Yau Orbifolds over Finite Fields
Marco Aldi, Andrija Perunicic
In the context of Berglund-Huebsch mirror symmetry, we compute the eigenvalues of the Frobenius endomorphism acting on a p-adic version of Borisov's complex. As a result, we conjec…
math.CO2025
An Efficiently Computable Lower Bound for the Independence Number of Hypergraphs
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
Let be fixed. We study the integer lower bound obtained by inverting the classical counting inequality for Turán systems. For a -uniform hypergraph with ve…