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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,...

Préface

Damien Rössler (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

Préhistoire de la géométrie algébrique réelle : de Descartes à Tarski

Hourya Sinaceur (1991)

Cahiers du séminaire d'histoire des mathématiques

Prehomogeneous vector spaces and field extensions.

David J. Wright, Akihiko Yukie (1992)

Inventiones mathematicae

Preperiodic dynatomic curves for $z \mapsto z^{d} + c$

Yan Gao (2016)

Fundamenta Mathematicae

The preperiodic dynatomic curve $_{n, p}$ is the closure in ℂ² of the set of (c,z) such that z is a preperiodic point of the polynomial $z \mapsto z^{d} + c$ with preperiod n and period p (n,p ≥ 1). We prove that each $_{n, p}$ has exactly d-1 irreducible components, which are all smooth and have pairwise transverse intersections at the singular points of $_{n, p}$ . We also compute the genus of each component and the Galois group of the defining polynomial of $_{n, p}$ .

Presentation of hyperelliptic periodic monodromies and splitting families.

Mizuho Ishizaka (2007)

Revista Matemática Complutense

Pre-Tango structures and uniruled varieties

Yoshifumi Takeda (2007)

Colloquium Mathematicae

The pre-Tango structure is an ample invertible sheaf of locally exact differentials on a variety of positive characteristic. It is well known that pre-Tango structures on curves often induce pathological uniruled surfaces. We show that almost all pre-Tango structures on varieties induce higher-dimensional pathological uniruled varieties, and that each of these uniruled varieties also has a pre-Tango structure. For this purpose, we first consider the p-closed rational vector field induced...

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

Henri Carayol (1998/1999)

Séminaire Bourbaki

Preuve des conjectures de Tate et de Shafarevitch

Pierre Deligne (1983/1984)

Séminaire Bourbaki

Prime to $p$ fundamental groups and tame Galois actions

Mark Kisin (2000)

Annales de l'institut Fourier

We show that for a local, discretely valued field $F$ , with residue characteristic $p$ , and a variety $𝒰$ over $F$ , the map $ρ : Gal (F^{sep} / F) \to Out (π_{1, geom}^{(p^{'})} (𝒰))$ to the outer automorphisms of the prime to $p$ geometric étale fundamental group of $𝒰$ maps the wild inertia onto a finite image. We show that under favourable conditions $ρ$ depends only on the reduction of $𝒰$ modulo a power of the maximal ideal of $F$ . The proofs make use of the theory of logarithmic schemes.