On the Monodromy Group of Plane Curve Singularities.
On the motive of an algebraic surface.
On the motives of moduli of chains and Higgs bundles
We take another approach to Hitchin’s strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle action. Our computation is done in the dimensional completion of the Grothendieck ring of varieties and starts by describing the classes of moduli stacks of chains rather than their coarse moduli spaces. As an application we show that the -torsion of the Jacobian acts trivially on the middle dimensional cohomology of the moduli space of twisted...
On the motivic spectra representing algebraic cobordism and algebraic -theory.
On the Néron-Severi group of a singular variety.
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the nonemptiness of the adjoint linear system of a hyperplane section of a threefold.
On the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0.
On the normal bundle of an exceptional curve in a higher dimensional algebraic manifold.
On the Normal Bundle of Curves on Complete Intersection Surfaces.
On the normal bundle of curves on smooth projective surfaces.
On the Normal Bundle to Abelian Surfaces Embedded in ...4 ( C ) .
On the Normal Bundles of Rational Space Curves.
On the Normal Bundles of Smooth Rational Spaces Curves.
On the number of non-equivalent differentiable structures on 4-Manifolds.
On the order three Brauer classes for cubic surfaces
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
On the adic nearby cycles of log smooth families
On the Picard number of a complex projective variety
On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic K3-Surfaces.
On the preservation of k-very ampleness under adjunction.