3 problems

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Gorenstein injective-dimension conjecture for generalized tilting modules
Let $R$ and $S$ be Artin algebras, let $_RU$ be a generalized tilting module, and set $S={\rm End}(_RU)$ . A module is (quasi) Gorenstein when it satisfies the corresponding Gorenst…
Conjectureopenartin-algebras gorenstein-modules tilting-theoryarXiv posted 2 days ago
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Extension of the upper bound for Hilbert coefficients of Gorenstein modules
Let $M$ be a finitely generated graded Gorenstein $R$ -module, minimally generated by homogeneous elements of degree zero. Let $s=\operatorname{codim} M$ and…
Conjectureopengorenstein-modules graded-commutative-algebra hilbert-coefficientsarXiv posted 2 days ago
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Unimodality conjecture for the torsion of Jacobian ideals
Unimodality conjecture. The sequence of dimensions $\dim SD(J_f)_k$ is unimodal, namely
Conjectureopengorenstein-modules jacobian-ideals milnor-algebrasarXiv posted 2 days ago

Gorenstein injective-dimension conjecture for generalized tilting modules