Ample vector bundles on singular varieties.
An example concerning a question of Zariski
An Integral Criterion for the Equivalence of Plane Curves.
Appendice à «Singularités rationnelles de surfaces»
Arcs analytiques et résolution minimale des singularités des surfaces quasi homogènes
Arithmetical aspects of saturation of singularities
Arithmetical quadratic surfaces of genus 0, II.
Aritmética de los semigrupos de Arf y saturados. Aplicaciones.
Calabi-Yau manifolds with large Picard number.
Characteristic divisors on complex manifolds.
Cohomology and the Resolution of the Nilpotent Variety.
Cohomology of desingularization of moduli space of vector bundles
Cohomology of the G-Hilbert Scheme for 1/r(1,1,R−1)
2000 Mathematics Subject Classification: Primary 14E15; Secondary 14C05,14L30.In this note we attempt to generalize a few statements drawn from the 3-dimensional McKay correspondence to the case of a cyclic group not in SL(3, C). We construct a smooth, discrepant resolution of the cyclic, terminal quotient singularity of type 1/r(1,1,r−1), which turns out to be isomorphic to Nakamura’s G-Hilbert scheme. Moreover we explicitly describe tautological bundles and use them to construct a dual basis to...
Combinatorial aspects of sequences of point blowing ups.
Computerbilder von Aufblasungen.
Congruences for numerical data of an embedded resolution
Constructiveness of Hironaka's resolution
Contact maximal en caractéristique positive
Contraction of excess fibres between the McKay correspondences in dimensions two and three
The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as Hilbert schemes of regular orbits whose exceptional fibres over the origin reveal similar properties. We construct a morphism between these two resolutions, contracting exactly the excess part of the exceptional fibre. This construction is motivated by the study of some pencils of K3 surfaces appearing as minimal resolutions...
Cycle exceptionnel de l’éclatement d’un idéal définissant l’origine de et applications
Soit un idéal de définissant l’origine de . On donne une méthode explicite pour déterminer, après un choix convenable des générateurs de , le cycle de sous-jacent à la fibre exceptionnelle de l’éclatement de relativement à . On étudie également l’éclatement d’une famille équimultiple d’idéaux ponctuels paramétrée par un germe d’espace analytique complexe réduit.