4 problems

S. Zhang's embedding conjecture for Hall algebra Drinfeld doubles
Let $\mathcal{C}_1$ and $\mathcal{C}_2$ be finitary hereditary connected $\mathbb{F}_q$ -linear categories, and let $\widetilde{\mathbf{D}}\mathbf{H}_{\mathcal{C}_i}$ denote their r…
openFrom papershall-algebras quantum-groups weighted-projective-lines
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4
Kac's conjecture for coherent sheaves on weighted projective lines
Let $\mathbb{X}_{\mathbf{p},\underline{\lambda}}$ be a weighted projective line, let $\mathfrak{Lg}$ be its corresponding loop Kac–Moody algebra, and use the identification…
openFrom paperscoherent-sheaves kac-moody-algebras weighted-projective-lines
0 responses
3
HRS-tilt characterization conjecture for weighted projective lines
HRS-tilt characterization conjecture. The aisle $cD^{\leq 0}$ contains no nonzero Ext-projective if and only if it is a shift of the HRS-tilt associated with some torsion pair…
openFrom paperstorsion-pairs t-structures weighted-projective-lines
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8
Derived-equivalence conjecture for arbitrary weighted projective lines
Derived-equivalence conjecture. Given an arbitrary weighted projective line $cX$ , Assertion holds for $cD=\mathcal{D}^b(cX)$ .
openFrom papersderived-categories t-structures weighted-projective-lines
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7

S. Zhang's embedding conjecture for Hall algebra Drinfeld doubles