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Displaying 1921 – 1940 of 2340

The Lamé family of connections on the projective line

Frank Loray, Marius van der Put, Felix Ulmer (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

This paper deals with rank two connections on the projective line having four simple poles with prescribed local exponents 1/4 and $- 1 / 4$ . This Lamé family of connections has been extensively studied in the literature. The differential Galois group of a Lamé connection is never maximal : it is either dihedral (finite or infinite) or reducible. We provide an explicit moduli space of those connections having a free underlying vector bundle and compute the algebraic locus of those reducible connections....

The Lazarsfeld-Rao problem for Buchsbaum curves

Giorgio Bolondi, Juan C. Migliore (1989)

Rendiconti del Seminario Matematico della Università di Padova

The Lefshetz Vanishing Cycles on a Projective Nonsingular Plane Curve.

Bronislaw Wajnryb (1977)

Mathematische Annalen

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

Biswas, Indranil, Hoffmann, Norbert (2010)

Documenta Mathematica

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

Yves Laszlo, Christoph Sorger (1997)

Annales scientifiques de l'École Normale Supérieure

The local lifting problem for actions of finite groups on curves

Ted Chinburg, Robert Guralnick, David Harbater (2011)

Annales scientifiques de l'École Normale Supérieure

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 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.

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

E. Ballico, Ph. Ellia (1985)

Inventiones mathematicae

The Maximal Rank Conjecture for Non-Special Curves in Ipn.

Edoardo Ballico, Philippe Ellia (1987)

Mathematische Zeitschrift

The Milnor Number and Deformations of Complex Curve Singularities.

Gert-Martin Greuel, Ragnar Buchweitz (1980)

Inventiones mathematicae

The modified diagonal cycle on the triple product of a pointed curve

Benedict H. Gross, Chad Schoen (1995)

Annales de l'institut Fourier

Let $X$ be a curve over a field $k$ with a rational point $e$ . We define a canonical cycle $Δ_{e} \in Z^{2} (X^{3})_{hom}$ . Suppose that $k$ is a number field and that $X$ has semi-stable reduction over the integers of $k$ with fiber components non-singular. We construct a regular model of $X^{3}$ and show that the height pairing $⟨ τ_{*} (Δ_{e}), τ_{*}^{'} (Δ_{e}) ⟩$ is well defined where $τ$ and $τ^{'}$ are correspondences. The paper ends with a brief discussion of heights and $L$ -functions in the case that $X$ is a modular curve.

The moduli and the global period mapping of surfaces with $K^{2} = p_{g} = 1$ : a counterexample to the global Torelli problem

F. Catanese (1980)

Compositio Mathematica

The moduli space of curves of genus two covering elliptic curves.

Naoki Murabayashi (1994)

Manuscripta mathematica

The moduli space of Riemann surfaces is Kähler hyperbolic.

McMullen, Curtis T. (2000)

Annals of Mathematics. Second Series

The Moduli Spaces of Vector Bundles over an Algebraic Curve.

S. Ramanan (1973)

Mathematische Annalen

The monodromy conjecture for zeta functions associated to ideals in dimension two

Lise Van Proeyen, Willem Veys (2010)

Annales de l’institut Fourier

The monodromy conjecture states that every pole of the topological (or related) zeta function induces an eigenvalue of monodromy. This conjecture has already been studied a lot. However in full generality it is proven only for zeta functions associated to polynomials in two variables.In this article we work with zeta functions associated to an ideal. First we work in arbitrary dimension and obtain a formula (like the one of A’Campo) to compute the “Verdier monodromy” eigenvalues associated to an...

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