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Published online by Cambridge University Press: 02 November 2018
Chapter II is devoted to the study of sheaves of monoids on a topological space.It includes the definition and basic constructions of monoschemes,which are generalizations of the fans classically used to construct toric varieties. Quasi-coherent sheaves of sets on monoschemese are defined, as well asprojective, proper, and separated morphisms of monoschemes.In particularit is shown how morphisms of monoschemes can be exactified by a monoidal transformation. Also discussed arethe key concepts of charts and coherence for a sheaf of monoids.
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