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arxiv: 1903.06849 · v1 · pith:5BQKGOWMnew · submitted 2019-03-16 · 🧮 math.AG · math.RT

The Betti Numbers of a Determinantal Variety

classification 🧮 math.AG math.RT
keywords determinantalvarietyassociatedbettideterminematricesmonoidnumbers
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We determine the Poincar\'e polynomial of the determinantal variety $\{\det = 0\}$ in the projective space associated with the monoid of $n\times n$ matrices.

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