Small contractions of four dimensional algebraic manifolds.
Small Deformation of Normal Singularities (Erratum).
Small Deformations of Normal Singularities.
Small points and Arakelov theory.
Small points on a multiplicative group and class number problem
Let be an algebraic subvariety of a torus and denote by the complement in of the Zariski closure of the set of torsion points of . By a theorem of Zhang, is discrete for the metric induced by the normalized height . We describe some quantitative versions of this result, close to the conjectural bounds, and we discuss some applications to study of the class group of some number fields.
Small values of the quadratic part of the Néron-Tate height on an abelian variety
Smallness problem for quantum affine algebras and quiver varieties
The geometric small property (Borho-MacPherson [2]) of projective morphisms implies a description of their singularities in terms of intersection homology. In this paper we solve the smallness problem raised by Nakajima [37, 35] for certain resolutions of quiver varieties [37] (analogs of the Springer resolution): for Kirillov-Reshetikhin modules of simply-laced quantum affine algebras, we characterize explicitly the Drinfeld polynomials corresponding to the small resolutions. We use an elimination...
Smith theory for algebraic varieties.
Smooth affine varieties and complete intersections.
Smooth and analytic solutions for analytic linear systems.
We give some approximation theorems in the Whitney topology for a general class of analytic fiber bundles. This leads to a classification theorem which generalizes the classical ones.
Smooth components of Springer fibers
This article studies components of Springer fibers for that are associated to closed orbits of on the flag variety of . These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the action of a maximal torus of . We prove that if is a line bundle on the flag variety associated to a dominant weight, then the higher...
Smooth contractible hypersurfaces in Cn and exotic algebraic structures on C3.
Smooth curves on a cone which pass through its vertex.
Smooth degeneration of complete intersection curves in positive characteristc.
Smooth double subvarieties on singular varieties, III
Let k be an algebraically closed field, char k = 0. Let C be an irreducible nonsingular curve such that rC = S ∩ F, r ∈ ℕ, where S and F are two surfaces and all the singularities of F are of the form , s ∈ ℕ. We prove that C can never pass through such kind of singularities of a surface, unless r = 3a, a ∈ ℕ. We study multiplicity-r structures on varieties r ∈ ℕ. Let Z be a reduced irreducible nonsingular (n-1)-dimensional variety such that rZ = X ∩ F, where X is a normal n-fold, F is a (N-1)-fold...
Smooth Enriques surfaces in P4 and exceptional bundles.
Smooth global complete intersections in certain compact homogenous complex manifolds.
Smooth lines on projective planes over two-dimensional algebras and submanifolds with degenerate Gauss maps.
Smooth non-special surfaces of P4.
Smooth points of a semialgebraic set
It is proved that the set of smooth points of a semialgebraic set is semialgebraic.