Graded Betti numbers of some embedded rational n-folds.
Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2.
Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.
Improvement of Grauert-Riemenschneider's theorem for a normal surface
Let be a desingularization of a normal surface . The group Pic is provided with an order relation , defined by . for any effective exceptional divisor . Comparing to the usual order relation we define the ceiling of which is an exceptional divisor. This notion allows us to improve the usual vanishing theorem and we deduce from it a numerical criterion for rationality and a genus formula for a curve on a normal surface; the difficulty lies in the case of a Weil divisor which is not a Cartier...
Invariant theory for and the rationality of
K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras
L'arithmétique des variétés rationnelles
L'équivalence rationnelle sur les points fermés des surfaces rationnelles fibrées en coniques
Linear bounds for levels of stable rationality
Let G be one of the groups SLn(ℂ), Sp2n (ℂ), SOm(ℂ), Om(ℂ), or G 2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G × ℙN is rational. In this paper we improve known bounds for the levels of stable rationality for the quotients V/G. In particular, their growth as functions of the rank of the group is linear for G being one of the classical groups.
Linear systems representing threefolds which are scrolls on a rational surface.
L'unirazionalità della varietà dei moduli delle curve di genere dodici
Motifs, L-Functions, and the K-Cohomology of Rational Surfaces over Finite Fields.
No rational nonsingular quartic curve can be set-theoretic complete intersection on a cubic surface
Nodal Cubic Surfaces and the Rationality of the Moduli Space of Curves of Genus Two.
Normal projective degenerations of rational and ruled surfaces.
On a geometric property of the normal bundle of surfaces in IP4.
On Affine-Ruled Irrational Surfaces.
On Affine-Ruled Rational Surfaces.
On Deformations of Threedimensional Rational Manifolds.
On the Chow groups of certain rational surfaces