On the structure of dg-categories of relative singularities

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

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

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

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