By David A. Cox
Toric types shape a gorgeous and available a part of sleek algebraic geometry. This e-book covers the normal subject matters in toric geometry; a unique characteristic is that every of the 1st 9 chapters comprises an introductory part at the helpful heritage fabric in algebraic geometry. different issues coated comprise quotient buildings, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimum version application for toric kinds. the topic lends itself to wealthy examples mirrored within the 134 illustrations integrated within the textual content. The publication additionally explores connections with commutative algebra and polyhedral geometry, treating either polytopes and their unbounded cousins, polyhedra. There are appendices at the heritage of toric kinds and the computational instruments to be had to enquire nontrivial examples in toric geometry. Readers of this e-book might be acquainted with the fabric coated in easy graduate classes in algebra and topology, and to a a bit lesser measure, complicated research. furthermore, the authors think that the reader has had a few earlier adventure with algebraic geometry at a sophisticated undergraduate point. The booklet should be an invaluable reference for graduate scholars and researchers who're drawn to algebraic geometry, polyhedral geometry, and toric forms.
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