There are lots of interactions among noncommutative algebra and illustration idea at the one hand and classical algebraic geometry at the different, with very important purposes in either instructions. the purpose of this e-book is to supply a accomplished creation to a few of the main major issues during this region, together with noncommutative projective algebraic geometry, deformation idea, symplectic mirrored image algebras, and noncommutative resolutions of singularities. The e-book is predicated on lecture classes in Noncommutative Algebraic Geometry given by means of the authors at a summer time Graduate tuition at MSRI in 2012 and, as such, is appropriate for complex graduate scholars and people project early post-doctorate examine. in accordance with the lectures on which the booklet is predicated, various routines are supplied, for which partial suggestions are incorporated.

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