Effective base point freeness.
Effective divisors of higher rank on a curve and the Siegel formula
Effective freeness and point separation for adjoint bundles.
Effective freeness of adjoint line bundles.
Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Effective Nullstellensatz for arbitrary ideals
Let be polynomials in variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials such that . The effective versions of this result bound the degrees of the in terms of the degrees of the . The aim of this paper is to generalize this to the case when the are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz–type inequalities and to deformation theory are also discussed.
Ein ?Descente"-Lemma und Grothendiecks Projektionssatz für nicht-noethersche Schemata.
Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes.
Eine Bemerkung zur Existenz spezieller Divisoren auf glatten projektiven Kurven.
Eine Klassenzahlformel für singuläre Moduln der Picardschen Modulgruppen
Eine Verallgemeinerung des Satzes von Castelnuovo-Severi.
Eine Vervollständigung der Chowvarietät der Punktetripel
Einfach-elliptische Singularitäten.
Einfacher Zusammenhang der Hilbertschemata von Kurven im komplex-projektiven Raum.
Einige einfach-zusammenhängende Hilbertschemata.
Einstein-Kähler V-Metrics on Open Satake V-Surfaces with Isolated Quotient Singularities.
El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas.
In this paper we compute the Poincaré-Hodge polynomial of a symmetric product of a compact kähler manifold, following the method used by Macdonald, in the topological case, to compute the Poincaré polynomial of a compact polyhedron, and we give some applications, in particular to the case of curves.
Elementary construction of perverse sheaves.
Elementary Contractions of Gorenstein Threefolds.
Elementary introduction to representable functors and Hilbert schemes
The purpose of this paper is to define and prove the existence of the Hilbert scheme. This was originally done by Grothendieck in [4]. A simplified proof was given by Mumford [11], and we will basically follow that proof, with small modifications.