Stable triples, equivariant bundles and dimensional reduction.
Stable twisted curves and their -spin structures
The subject of this article is the notion of -spin structure: a line bundle whose th power is isomorphic to the canonical bundle. Over the moduli functor of smooth genus- curves, -spin structures form a finite torsor under the group of -torsion line bundles. Over the moduli functor of stable curves, -spin structures form an étale stack, but both the finiteness and the torsor structure are lost.In the present work, we show how this bad picture can be definitely improved just by placing...
Stable vector bundles and the frobenius morphism
Stable vector bundles of degree one on algebraic surfaces.
Stable Vector Bundles of Rank 2 on IP3.
Stable Vector Bundles on Projective Spaces in Char p > 0.
Stable vector bundles over cuspidal cubics
We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique of matrix problems is used, similar to [2, 3].
Stably rational algebraic tori
The rationality of a stably rational torus with a cyclic splitting field is proved.
Stacks and the homotopy theory of simplicial sheaves.
Stacks of group representations
We start with a small paradigm shift about group representations, namely the observation that restriction to a subgroup can be understood as an extension-of-scalars. We deduce that, given a group , the derived and the stable categories of representations of a subgroup can be constructed out of the corresponding category for by a purely triangulated-categorical construction, analogous to étale extension in algebraic geometry. In the case of finite groups, we then use descent methods to investigate...
Stahle bundles and differentiable structures on certain elliptic surfaces.
Standard systems of parameters and their blowing-up rings.
Stanley decompositions of the Bracket ring.
Stark units and Kolyvagin's "Euler systems".
Status report on the instanton counting.
Stein open subsets with analytic complements in compact complex spaces
Let Y be an open subset of a reduced compact complex space X such that X - Y is the support of an effective divisor D. If X is a surface and D is an effective Weil divisor, we give sufficient conditions so that Y is Stein. If X is of pure dimension d ≥ 1 and X - Y is the support of an effective Cartier divisor D, we show that Y is Stein if Y contains no compact curves, for all i > 0, and for every point x₀ ∈ X-Y there is an n ∈ ℕ such that is empty or has dimension 0, where is the map from...
Stickelberger elements and modular parametrizations of elliptic curves.
Stickelberger Ideals.
Strata in the deformation of real isolated singularities are in general non contractible
Strata of smooth space curves having unstable normal bundle
Per , vengono trovate curve liscie in di grado e genere aventi fibrato normale instabile con grado di instabilità , per ogni . Inoltre per , viene trovata una famiglia di curve in di grado e genere avente fibrato normale instabile con grado di instabilità e formante uno strato dello schema di Hilbert della giusta dimensione che è .