On the smoothness of the scheme of linear representations and the\n Nori-Hilbert scheme of an associative algebra

2011/11/11 by Federica Galluzzi, Galluzzi, Federica, Francesco Vaccarino +1
Mathematics · #14A22 #14C05 #16Exx #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1111.2777

openalex publication_date 2011/11/11 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

Let k be an algebraically closed field and let A be a finitely generated\nk-algebra. We show that the scheme of n-dimensional representations of A is\nsmooth when A is hereditary and coherent. We deduce from this the smoothness\nof the Nori-Hilbert scheme associated to A.\n

Citations

• Moduli of linear representations, symmetric products and the non commutative Hilbert scheme
• Algebraic Families on an Algebraic Surface

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