6 papers
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…
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…
Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
Marco Aldi, Sergio Da Silva, Daniele Grandini
In this paper we consider families of mutually commuting endomorphisms of the generalized tangent bundle. We identify natural tensorial constraints extending the notion of a genera…
Invertible Calabi-Yau Orbifolds over Finite Fields II
Marco Aldi, Andrija PeruniÄiÄ
We state a conjecture about the zeta function of crepant resolutions of Berglund--Hübsch orbifold hypersurfaces over a finite field. In addition to numerical evidence, we show tha…
An unholy trinity: TFNP, polynomial systems, and the quantum satisfiability problem
Marco Aldi, Sevag Gharibian, Dorian Rudolph
The theory of Total Function NP (TFNP) and its subclasses says that, even if one is promised an efficiently verifiable proof exists for a problem, finding this proof can be intract…
An Efficiently Computable Lower Bound for the Independence Number of Hypergraphs
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
We introduce a lower bound for the independence number of an arbitrary -uniform hypergraph that only depends on the number of vertices and number of edges of the hypergraph.