For a space with algebraically good fundamental group and There are also notions of minimal models, unpointed homotopy types andĪlgebraic automorphism groups. For compact Kähler manifolds, the schematic homotopy groupsĬan be described explicitly in terms of this cohomology ring, giving them canonical weightĭecompositions. Groups with cohomology of the universal semisimple local system, and a generalisation of theīaues–Lemaire conjecture. The Maurer–Cartan equations, convergent spectral sequences comparing schematic homotopy New features include an explicit description of homotopy groups using Spaces, providing an alternative approach to defining Toën’s schematic homotopy types over any The purpose of this paper is to generalise Sullivan’s rational homotopy theory to non-nilpotent
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