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We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [ Quantum groups , Contemporary Mathematics 433 (American Mathematical Society, Providence, RI, 2007) 89–101] that describes the center of the principal block of a small quantum group in terms of sheaf cohomology over the Springer resolution. Then using the method developed in Lachowska and Qi [ Int. Math. Res. Not ., Preprint, 2017, arXiv:1604.07380], we present a linear algebro‐geometric approach to compute the dimensions of the singular blocks and of the entire center of the small quantum group associated with a complex semisimple Lie algebra. A conjectural formula for the dimension of the center of the small quantum group at an   l  th root of unity is formulated in type A.

The center of small quantum groups II: singular blocks