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Using Auroux’s description of Fukaya categories of symmetric products of punctured surfaces, we compute the partially wrapped Fukaya category of the complement of $k+1$ generic hyperplanes in $$\mathbb{CP}^{n}$$ , for $$k\geqslant n$$ , with respect to certain stops in terms of the endomorphism algebra of a generating set of objects. The stops are chosen so that the resulting algebra is formal. In the case of the complement of $n+2$ generic hyperplanes in $$\mathbb{C}P^{n}$$ ( $$n$$ -dimensional pair of pants), we show that our partial wrapped Fukaya category is equivalent to a certain categorical resolution of the derived category of the singular affine variety $$x_{1}x_{2}\ldots x_{n+1}=0$$ . By localizing, we deduce that the (fully) wrapped Fukaya category of the $$n$$ -dimensional pair of pants is equivalent to the derived category of $$x_{1}x_{2}\ldots x_{n+1}=0$$ . We also prove similar equivalences for finite abelian covers of the $$n$$ -dimensional pair of pants. 

In his work on deformation quantization of algebraic varieties Kontsevich introduced the notion of algebroid as a certain generalization of a sheaf of algebras. We construct algebroids which are given locally by NC-smooth thickenings in the sense of Kapranov, over two classes of smooth varieties: the bases of miniversal families of vector bundles on projective curves, and the bases of miniversal families of quiver representations.