Gives Poincaré polynomial formula via finite field point counting for codimension one type A Hessenberg varieties, proves reducedness, characterizes irreducibility, and extends prior Schubert variety results.
Commutative algebra , volume 150 of Graduate Texts in Mathematics
3 Pith papers cite this work. Polarity classification is still indexing.
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Finite-dimensional monomial algebras are characterized by their automorphism group among finite-dimensional local algebras with fixed cotangent space dimension.
Lecture notes providing an introduction to singularity categories.
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Hessenberg varieties of codimension one in the flag variety
Gives Poincaré polynomial formula via finite field point counting for codimension one type A Hessenberg varieties, proves reducedness, characterizes irreducibility, and extends prior Schubert variety results.
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Finite-dimensional monomial algebras are determined by their automorphism group
Finite-dimensional monomial algebras are characterized by their automorphism group among finite-dimensional local algebras with fixed cotangent space dimension.
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Lectures on singularity categories
Lecture notes providing an introduction to singularity categories.