The rational homotopy theory of smooth, complex projective varieties
The rationality of some moduli spaces of plane curves
The rationality of the moduli space of Enriques surfaces
The rationality of the Poincaré series associated to the p-adic points on a variety.
The real genus of the alternating groups.
The Real Jacobian Conjecture for polynomials of degree 3
We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.
The real Seifert form and the spectral pairs of isolated hypersurface singularities
The reciprocity obstruction for rational points on compactifications of torsors under tori over fields with global duality.
The reduction of a double covering of a Mumford curve.
The relative Riemann-Roch theorem from Hochschild homology.
The Riemann surface of a uniform dessin.
The Riemann-Roch theorem and geometry, 1854-1914.
The Riemann-Roch Theorem and the Independence of the Conditions of Adjointness in the case of a curve for which the tangents at the multiple points are distinct from one another.
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with addititonal conditions on compact subsets.
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets
The Riemann-Roch theorem on algebraic curves
The role of the Ellingsrud-Strømme construction in the classification of instantons
We review a construction of Ellingsrud-Strømme relating instantons of charge n on the ordinary projective space and theta-characteristics on a plane curve of degree n with some extra-structure.
The Runge approximation problem for holomorphic maps into Grassmannians.
The scheme of connected components of the Néron model of an algebraic torus.
The scheme of morphisms from an elliptic curve to a Grassmannian