A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A note on Bézout's theorem
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
A note on M. Soares’ bounds
We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of .
A Pieri-type theorem for Lagrangian and odd Orthogonal Grassmannians.
A triple intersection theorem for the varieties SO(n)/Pd
We study the Schubert calculus on the space of d-dimensional linear subspaces of a smooth n-dimensional quadric lying in the projective space. Following Hodge and Pedoe we develop the intersection theory of this space in a purely combinatorial manner. We prove in particular that if a triple intersection of Schubert cells on this space is nonempty then a certain combinatorial relation holds among the Schubert symbols involved, similar to the classical one. We also show when these necessary conditions...
About the adjunction process for polarized algebraic surfaces.
Alexander duality in intersection theory
Algebraic Cycles on Abelian Varieties of Fermat Type.
Ample vector bundles with zero loci having a bielliptic curve section.
An Euler-Poincaré Characteristic for Improper Intersections.
Analytic deviation of ideals and intersection theory of analytic spaces.
Arakelov Chow groups of abelian schemes, arithmetic Fourier transform, and analogues of the standard conjectures of Lefschetz type.
Arithmetic discriminants and horizontal intersections.
Arithmetical graphs.
Around the Gysin triangle. II.
Associate forms, joins, multiplicities and an intrinsic elimination theory
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.
Berührungsbedingungen für p-l-s-Kegelschnitte
Bivariant Chern classes for morphisms with nonsingular target varieties
W. Fulton and R. MacPherson posed the problem of unique existence of a bivariant Chern class-a Grothendieck transformation from the bivariant theory F of constructible functions to the bivariant homology theory H. J.-P. Brasselet proved the existence of a bivariant Chern class in the category of embeddable analytic varieties with cellular morphisms. In general however, the problem of uniqueness is still unresolved. In this paper we show that for morphisms having nonsingular target varieties there...
Canonical Classes on Singular Varieties.