We prove that any noetherian quasi-excellent scheme of characteristic zero admits a strong desingularization which is functorial with respect to all regular morphisms. We show that as an easy formalâ€¦ (More)

For a Noetherian scheme X, let Xreg denote the regular locus of X. The scheme X is said to admit a resolution of singularities if there exists a blowup X â€² â†’ X with center disjoint from Xreg andâ€¦ (More)

The aim of this paper is to prove that an algebraic variety over a field can be desingularized locally along a valuation after a purely inseparable alteration. Zariski was first to study the problemâ€¦ (More)

In the theory of schemes, faithfully flat descent is a very powerful tool. One wants a descent theory not only for quasi-coherent sheaves and morphisms of schemes (which is rather elementary), butâ€¦ (More)

We resolve an open problem in commutative algebra and Field Arithmetic, posed by Jarden â€“ Let R be a generalized Krull domain. Is the ring R[[X]] of formal power series over R a generalized Krullâ€¦ (More)

There is a natural analytification functor from the category of locally separated algebraic spaces locally of finite type over C to the category of complex-analytic spaces [Kn, Ch. I, 5.17ff].â€¦ (More)

W. J. C. ORR and D. W. Thomson1 have found the velocity of diffusion of HDO into H2O to be abnormally large, the diffusion constant D being 9 Ã— 10âˆ’4 cm.2 sec.âˆ’1 at 15Â° C., whereas for all simpleâ€¦ (More)