On the structure of dg-categories of relative singularities

When M is a model category, with W as equivalences, then the localized category W −1 M possesses a very nice description in terms of homotopy classes of morphisms between

Though the first theorem, that gives a sufficient condition for flatness at generic points, was already known in a different perspective, our approach is here completely

We explain how the existence of a good resolution describes the link of a normal complex surface germ as the boundary of a plumbing of disc bundles on oriented smooth compact

There is a convenient variational setting for the periodic Ginzburg–Landau equations, we may refer to [20,13] for a mathematically oriented presentation of this setting, the

By definition, the homotopy category of D − -stacks is Ho(k-D − Aff ∼,et ), and is denoted as in [35] by D − St(k). The D − -stacks in the essential image of the functor RSpec

Each free module A", AGJ^, is small in ^ja^, and so are the objects of the smallest strictly full triangulated subcategory of 2^ containing the A^ Ae^, and closed under

sheaves satisfying these properties: the sheaf of all smooth vector fields, the sheaf of Hamiltonian vector fields and the sheaf of Hamiltonian vector fields with

In this paper we present new proofs using real spectra of the finite- ness theorem on Nash trivial simultaneous resolution and the finiteness theo- rem on Blow-Nash triviality