Global smoothing of Calabi-Yau threefolds.
Graph theoretic techniques in algebraic geometry II: construction of singular complex surfaces of the rational cohomology type of CP2.
Green functions, Segre numbers, and King’s formula
Let be a coherent ideal sheaf on a complex manifold with zero set , and let be a plurisubharmonic function such that locally at , where is a tuple of holomorphic functions that defines . We give a meaning to the Monge-Ampère products for , and prove that the Lelong numbers of the currents at coincide with the so-called Segre numbers of at , introduced independently by Tworzewski, Gaffney-Gassler, and Achilles-Manaresi. More generally, we show that satisfy a certain generalization...
Hamburger-Noether Expansions and Approximate Roots of Polynomials.
Hilbert series and applications to graded rings.
Hirzebruch's conjecture on cusp singularities.
Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten I.
Holomorphic bijections of algebraic sets
We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].
Homogeneous polynomials with isomorphic Milnor algebras
We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.
Homotopiegruppen von Hyperflächenschnitten.
Hyperplane singularities of analytic functions of several complex variables.
Hypersurface sections and obstructions (rational surface singularities)
Hypersurfaces with singular locus a plane curve and transversal type
Immersions of module varieties
We show that a homomorphism of algebras is a categorical epimorphism if and only if all induced morphisms of the associated module varieties are immersions. This enables us to classify all minimal singularities in the subvarieties of modules from homogeneous standard tubes.
Indecomposable Cohen-Macaulay modules and irreducible maps
Infinitesimal Deformations of Cusp Singularities.
Infinitesimal deformations of quotient surface singularities
Inflated mappings for singularities of codimension
Integral closure of modules and Whitney equisingularity.
Integral quadratic forms : applications to algebraic geometry