What is a good book on algebraic geometry, with focus on toric varieties, similar both in the philosophy and in the prestige of the authors to Modern Geometric Structures and Fields
by Novikov and Taimanov?
My background is from theoretical and mathematical physics, and I need toric geometry for string theory and mirror symmetry applications.
Up to now, the best I could find was Toric Varieties
by Cox, Little
and Schenck.
Another paper I should mention is http://arxiv.org/abs/hep-th/0702063
Best Answer
Just now I'm studyng for an exam in Toric Geometry, and the professor suggested "Toric Varieties" by Cox, Little and Schenck, "Introduction to toric varietis" by Fulton and "Symplectic toric manifolds", which are notes by Cannas De Silva about a Symplectic point of view in Toric Geometry. I think that Fulton's book is beautiful, but the most complete is surely Cox, Little and Schenck's.