Endliche Automorphismengruppen analytischer C-Algebren und ihre Invarianten.
Enriques' Classification of Surfaces in Char. p, III.
Equations de variétés de Kummer.
Equations defining reducible Kummer surfaces in ℙ⁵
Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these surfaces in...
Equianalytic and equisingular families of curves on surfaces.
Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero
2000 Mathematics Subject Classification: 14B05, 32S25.The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern. In this paper we explore how it changes by blowing–up.* Supported by FQM 304 and BFM 2000–1523. ** Supported by FQM 218 and BFM 2001–3207.
Equisingular deformations below the Newton boundary
Equisingular deformations of isolated 2-dimensional hyper-surface singularities.
Equisingular generic discriminants and Whitney conditions
The purpose of this article is to show that the Whitney conditions are satisfied for complex analytic families of normal surface singularities for which the generic discriminants are equisingular. According to J. Briançon and J. P. Speder the constancy of the topological type of a family of surface singularities does not imply Whitney conditions in general. We will see here that for a family of minimal normal surface singularities these two equisingularity conditions are equivalent.
Équisingularité générique des familles de surfaces à singularité isolée
Equivalence of families of singular schemes on threefolds and on ruled fourfolds.
The main purpose of this paper is twofold. We first analyze in detail the meaningful geometric aspect of the method introduced in [12], concerning families of irreducible, nodal curves on a smooth, projective threefold X. This analysis gives some geometric interpretations not investigated in [12] and highlights several interesting connections with families of other singular geometric objects related to X and to other varieties. Then we use this method to study analogous problems for families of...
Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents
We formulate the equivalence problem, in the sense of É. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety , a family of minimal rational curves with -isotrivial varieties of minimal rational tangents...
Equivariant principal bundles for G–actions and G–connections
Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.
Ergänzung und Berichtigung zu : Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität.
Ergänzungen zu meiner Arbeit: ,,Die Homologiegruppen der Mannigfaltigkeit, die aus den linearen k-Räumen auf einer nicht-ausgearteten 2k-Quadrik besteht"
Errata-Corrige : “Canonical surfaces with and ”
Erratum: “Curves on generic hypersurfaces”
Erratum: Rational points of bounded height on Fano varieties. Invent. Math. 95, 421-435 (1989).
Erratum to "Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13" (Ann. Polon. Math. 90 (2007), 89-98)
Erratum to "On complex projective surfaces with trigonal hyperplane sections".