There are various interactions among noncommutative algebra and illustration thought at the one hand and classical algebraic geometry at the different, with very important purposes in either instructions. the purpose of this booklet is to supply a accomplished creation to a couple of the main major subject matters during this region, together with noncommutative projective algebraic geometry, deformation concept, symplectic mirrored image algebras, and noncommutative resolutions of singularities. The ebook relies on lecture classes in Noncommutative Algebraic Geometry given by way of the authors at a summer time Graduate institution at MSRI in 2012 and, as such, is acceptable for complicated graduate scholars and people project early post-doctorate learn. in response to the lectures on which the booklet is predicated, lots of workouts are supplied, for which partial ideas are integrated.
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