Las 27 rectas de una superficie cúbica.
Lieu singulier d'une surface réglée
Linear systems representing threefolds which are scrolls on a rational surface.
Linearly Normal Curves in P^n
2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In the present paper we apply...
Lines on del Pezzo surfaces with in characteristic 2 in the smooth case.
Manin’s conjecture for a singular sextic del Pezzo surface
We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type . Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.
Manin's conjecture on a nonsingular quartic del Pezzo surface
Maximal Mordell-Weil lattices of fibred surfaces with
Minimal models of foliated algebraic surfaces
Moduli spaces of stable rank-2 bundles on ruled surfaces.
O jedné třídě ploch zborcených
On complex surfaces diffeomorphic to rational surfaces.
On Donaldson polynomials of rational ruled surfaces.
On second fundamental forms of projective varieties.
On some components of moduli space of surfaces of general type
On stable conjugacy of finite subgroups of the plane Cremona group, I
We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H 1(G, Pic(X)) for cyclic groups of prime order.
On the fundamental groups of some open rational surfaces.
On the Invariants of Base Changes of Pencils of Curves, I.
On the iteration of the adjunction process for surfaces of negative Kodaira dimension.
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.