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Let $k$ be an algebraically closed field of characteristic $p > 0$ . We study obstructions to lifting to characteristic $0$ the faithful continuous action $φ$ of a finite group $G$ on $k [[t]]$ . To each such $φ$ a theorem of Katz and Gabber associates an action of $G$ on a smooth projective curve $Y$ over $k$ . We say that the KGB obstruction of $φ$ vanishes if $G$ acts on a smooth projective curve $X$ in characteristic $0$ in such a way that $X / H$ and $Y / H$ have the same genus for all subgroups $H \subset G$ . We determine for which $G$ the KGB obstruction...

The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch).

Consani, Caterina (1999)

Documenta Mathematica

The Local Nash problem on arc families of singularities

Shihoko Ishii (2006)

Annales de l’institut Fourier

This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.

The Local Torelli Theorem. I. Complete Intersection.

C. Peters (1975)

Mathematische Annalen

The local Torelli-theorem. II : cyclic branched coverings

C. A. M. Peters (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The Lojasiewicz exponent at infinity for overdetermined polynomial mappings

S. Spodzieja (2002)

Annales Polonici Mathematici

We prove that the study of the Łojasiewicz exponent at infinity of overdetermined polynomial mappings $ℂ ⁿ \to ℂ^{m}$ , m > n, can be reduced to the one when m = n.

The Łojasiewicz gradient inequality in a neighbourhood of the fibre

Janusz Gwoździewicz, Stanisław Spodzieja (2005)

Annales Polonici Mathematici

Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.

The Łojasiewicz numbers and plane curve singularities

Evelia García Barroso, Tadeusz Krasiński, Arkadiusz Płoski (2005)

Annales Polonici Mathematici

For every holomorphic function in two complex variables with an isolated critical point at the origin we consider the Łojasiewicz exponent ₀(f) defined to be the smallest θ > 0 such that ${| g r a d f (z) | \geq c | z |}^{θ}$ near 0 ∈ ℂ² for some c > 0. We investigate the set of all numbers ₀(f) where f runs over all holomorphic functions with an isolated critical point at 0 ∈ ℂ².

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The Lefschetz number of an involution on the space of classes of positive definite quadratic forms.

The Lefschetz trace formula for algebraic stacks.

The Lefshetz Vanishing Cycles on a Projective Nonsingular Plane Curve.

The Leibniz rule in algebraic $K$ -theory.

The line bundles on moduli stacks of principal bundles on a curve.

The line bundles on the moduli of parabolic $G$ -bundles over curves and their sections

The local Gromov-Witten invariants of configurations of rational curves.

The local lifting problem for actions of finite groups on curves

The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch).

The Local Nash problem on arc families of singularities

The Local Torelli Theorem. I. Complete Intersection.

The local Torelli-theorem. II : cyclic branched coverings

The Lojasiewicz exponent at infinity for overdetermined polynomial mappings

The Łojasiewicz gradient inequality in a neighbourhood of the fibre

The Łojasiewicz numbers and plane curve singularities

The "main conjectures" of Iwasawa theory for imaginary quadratic fields.

The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.

The mathematics of fivebranes.

The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.

The maximal rank conjecture for non-special curves in IP3.

Currently displaying 381 – 400 of 915