A bound on the Euler number for certain Calabi-Yau 3-folds.
A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A few remarks on blowing-up and connectedness.
A Formula for the Euler characteristic of a real algebraic manifold.
A Gauss-Bonnet theorem for motivic cohomology.
A remark on the Hodge type of projective varieties of low degree.
A Second Lefschetz Theorem for General Manifold Sections in Complex Projective Space.
About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.
We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms.
Affine varieties dominated by C2.
Algebraic Structures on Certain 3-Folds.
Algebraische und topologische reelle Zykeln unter birationalen Transformationen.
Algebro-geometric analogues of Donaldson's polynomials.
Asymptotic behaviour of numerical invariants of algebraic varieties
We show that if the degree of a nonsingular projective variety is high enough, maximization of any of the most important numerical invariants, such as class, Betti number, and any of the Chern or middle Hodge numbers, leads to the same class of extremal varieties. Moreover, asymptotically (say, for varieties whose total Betti number is big enough) the ratio of any two of these invariants tends to a well-defined constant.