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Plane curves with small linear orbits, I

Paoli Aluffi, Carel Faber (2000)

Annales de l'institut Fourier

The “linear orbit” of a plane curve of degree $d$ is its orbit in $ℙ^{d (d + 3) / 2}$ under the natural action of $PGL (3)$ . In this paper we compute the degree of the closure of the linear orbits of most curves with positive dimensional stabilizers. Our tool is a nonsingular variety dominating the orbit closure, which we construct by a blow-up sequence mirroring the sequence yielding an embedded resolution of the curve. The results given here will serve as an ingredient in the computation of the analogous information for...

Points d’ordre fini d’un groupe formel sur une extension non ramifiée de $ℤ_{p}$

Jean-Marc Fontaine (1974)

Mémoires de la Société Mathématique de France

Points of order $p$ of generic formal groups

Karl Zimmermann (1988)

Annales de l'institut Fourier

There are many similarities between elliptic curves and formal groups of finite height. The points of order $p$ of a generic formal group are studied in order to develop the formal group analogue (applied to points of order $p$ ) of the concept of level structure and that of the $e_{n}$ -pairing known in elliptic curve theory.

Polynomial bounds for abelian groups of automorphisms

Fabrizio Catanese, Michael Schneider (1995)

Compositio Mathematica

Polynomial invariants of representations of quivers.

Steven Donkin (1994)

Commentarii mathematici Helvetici

Power reductivity over an arbitrary base.

Franjou, Vincent, van der Kallen, Wilberd (2010)

Documenta Mathematica

Predegree Polynomials of Plane Configurations in Projective Space

Tzigantchev, Dimitre (2008)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 14N10, 14C17.We work over an algebraically closed field of characteristic zero. The group PGL(4) acts naturally on PN which parameterizes surfaces of a given degree in P3. The orbit of a surface under this action is the image of a rational map PGL(4) ⊂ P15→PN. The closure of the orbit is a natural and interesting object to study. Its predegree is defined as the degree of the orbit closure multiplied by the degree of the above map restricted to a general Pj,...

Preuve de la conjecture de Langlands locale pour $G L_{n}$ : travaux de Harris-Taylor et Henniart

Henri Carayol (1998/1999)

Séminaire Bourbaki

Principal bundles admitting a rational section.

M.S. Raghunathan (1994)

Inventiones mathematicae

Principal bundles on affine space and bundles on the projective line.

M.S. Raghunathan (1989)

Mathematische Annalen

Principal Orbit Types for Algebraic Transformation Spaces in Characteristic Zero.

R.W. Jr. Richardson (1972)

Inventiones mathematicae

Products of simple isometries of given conjugacy types.

Frieder Knüppel (1993)

Forum mathematicum

Profondeur d’anneaux d’invariants en caractéristique $p$

Geir Ellingsrud, Tor Skjelbred (1980)

Compositio Mathematica

Projective Degenerations of Enriques' Surfaces.

Jayant Shah (1981)

Mathematische Annalen

Projective homogeneous varieties birational to quadrics.

MacDonald, Mark L. (2009)

Documenta Mathematica

Projective normality of flag varieties and Schubert varieties.

S. Ramanan, A. Ramanathan (1985)

Inventiones mathematicae

Properties of subgroups not containing their centralizers

Lemnouar Noui (2009)

Annales mathématiques Blaise Pascal

In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group $G$ to express as semi-direct product of a divisible subgroup $D$ and some subgroup $H$ . We also apply the main Theorem to the $p$ -groups with center of index $p^{2}$ , for some prime $p$ . For these groups we compute $N_{c} (G)$ the number of conjugacy classes and $N_{a}$ the number of abelian maximal subgroups and $N_{n a}$ the number of nonabelian...

Propriétés de ramification à l'infini du groupe modulaire de Teichmüller. With an appendix in English by Ken Baclawski

Jean-Luc Brylinski (1979)

Annales scientifiques de l'École Normale Supérieure

Propriétés (Q) et (C). Variété commutante

Jean-Yves Charbonnel (2004)

Bulletin de la Société Mathématique de France

Soient $X$ une variété algébrique complexe, lisse, irréductible, $E$ et $F$ deux espaces vectoriels complexes de dimension finie et $μ$ un morphisme de $X$ dans l’espace Lin $(E, F)$ des applications linéaires de $E$ dans $F$ . Pour $x \in X$ , on note $E (x)$ et $x \cdot E$ le noyau et l’image de $μ (x)$ , ${\bar{μ}}_{x}$ le morphisme de $X$ dans Lin $(E (x), F / (x \cdot E))$ qui associe à $y$ l’application linéaire $v \mapsto μ (y) (v) + x \cdot E$ . Soit i $_{μ}$ la dimension minimale de $E (x)$ . On dit que $μ$ ala propriété $(𝐑)$ en $x$ si i $_{{\bar{μ}}_{x}}$ est inférieur à i $_{μ}$ . Soient $F^{*}$ le dual de $F$ , S $(F)$ l’algèbre symétrique de $F$ , $ℐ_{μ}$ l’idéal de $𝒪_{X} \otimes_{ℂ} S (F)$ engendré par...

Prym varieties of pairs of coverings.

Lange, Herbert, Recillas, Sevin (2004)

Advances in Geometry

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