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math.AG2022★ 1 cited
The Nash problem for torus actions of complexity one
David Bourqui, Kevin Langlois, Hussein Mourtada
We solve the equivariant generalized Nash problem for any non-rational normal variety with torus action of complexity one. Namely, we give an explicit combinatorial description of…
math.CO2022★ 1 cited
Neighborly partitions and the numerators of Rogers-Ramanujan identities
Zahraa Mohsen, Hussein Mourtada
We prove two partition identities which are dual to the Rogers-Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of obj…