EuDML | Browse

Page 1

Displaying 1 – 12 of 12

L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.

L. Saper (1985)

Inventiones mathematicae

La méthode d'Horace éclatée: application à l'interpolation en degré quatre.

A. Hirschowitz, J. Alexander (1992)

Inventiones mathematicae

Le théorème de Riemann-Roch pour les variétés algébriques éventuellement singulières

Jean-Louis Verdier (1974/1975)

Séminaire Bourbaki

Les conditions de Whitney impliquent $μ (*)$ constant

Joël Briançon, Jean-Paul Speder (1976)

Annales de l'institut Fourier

La condition “ $μ (*)$ constant” est une condition numérique d’équisingularité introduite par B. Teissier. Celui-ci a démontré dans (Astérisque, 7 & 8 (1973) II. Théorème 3.9) que cette condition implique les conditions de Whitney, nous montrons ici la réciproque.

Letter to the Editors.

B. Malgrange (1973)

Inventiones mathematicae

Limits of log canonical thresholds

Tommaso de Fernex, Mircea Mustață (2009)

Annales scientifiques de l'École Normale Supérieure

Let $𝒯_{n}$ denote the set of log canonical thresholds of pairs $(X, Y)$ , with $X$ a nonsingular variety of dimension $n$ , and $Y$ a nonempty closed subscheme of $X$ . Using non-standard methods, we show that every limit of a decreasing sequence in $𝒯_{n}$ lies in $𝒯_{n - 1}$ , proving in this setting a conjecture of Kollár. We also show that $𝒯_{n}$ is closed in $𝐑$ ; in particular, every limit of log canonical thresholds on smooth varieties of fixed dimension is a rational number. As a consequence of this property, we see that in order to check...

Linear Complementary Inequalities for Orders of Germs of Analytic Functions.

Shuzo Izumi (1981/1982)

Inventiones mathematicae

Local fundamental groups of surface singularities in characteristic p.

S.D. Cutkosky, Hema Srinivasan (1993)

Commentarii mathematici Helvetici

Local geometry of smooth curves passing through rational double points.

David B. Jaffe (1992)

Mathematische Annalen

Local monomialization of transcendental extensions

Steven Dale CUTKOSKY (2005)

Annales de l’institut Fourier

Suppose that $R \subset S$ are regular local rings which are essentially of finite type over a field $k$ of characteristic zero. If $V$ is a valuation ring of the quotient field $K$ of $S$ which dominates $S$ , then we show that there are sequences of monoidal transforms (blow ups of regular primes) $R \to R_{1}$ and $S \to S_{1}$ along $V$ such that $R_{1} \to S_{1}$ is a monomial mapping. It follows that a morphism of nonsingular varieties can be made to be a monomial mapping along a valuation, after blow ups of nonsingular subvarieties.

Local volumes of Cartier divisors over normal algebraic varieties

Mihai Fulger (2013)

Annales de l’institut Fourier

In this paper we study a notion of local volume for Cartier divisors on arbitrary blow-ups of normal complex algebraic varieties of dimension greater than one, with a distinguished point. We apply this to study an invariant for normal isolated singularities, generalizing a volume defined by J. Wahl for surfaces. We also compare this generalization to a different one arising in recent work of T. de Fernex, S. Boucksom, and C. Favre.

Localisation de la lissite formelle.

Michel André (1974)

Manuscripta mathematica

Displaying 1 – 12 of 12

Currently displaying 1 – 12 of 12