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Displaying 481 – 500 of 1145

On spherical nilpotent orbits and beyond

Dmitri I. Panyushev (1999)

Annales de l'institut Fourier

We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s $θ$ -groups. This yields a description of spherical...

On spinor varieties and their secants.

Manivel, Laurent (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

On square values of quadratics

Andrew Bremner (2003)

Acta Arithmetica

On squares of squares II

Andrew Bremner (2001)

Acta Arithmetica

On Stable and Ample Vector Bundles of Rank 2 on Curves.

Herbert Lange (1978)

Mathematische Annalen

On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.

Herbert Lange (1979)

Manuscripta mathematica

On stable conjugacy of finite subgroups of the plane Cremona group, I

Fedor Bogomolov, Yuri Prokhorov (2013)

Open Mathematics

We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H 1(G, Pic(X)) for cyclic groups of prime order.

On standard norm varieties

Nikita A. Karpenko, Alexander S. Merkurjev (2013)

Annales scientifiques de l'École Normale Supérieure

Let $p$ be a prime integer and $F$ a field of characteristic $0$ . Let $X$ be thenorm varietyof a symbol in the Galois cohomology group $H^{n + 1} (F, μ_{p}^{\otimes n})$ (for some $n \geq 1$ ), constructed in the proof of the Bloch-Kato conjecture. The main result of the paper affirms that the function field $F (X)$ has the following property: for any equidimensional variety $Y$ , the change of field homomorphism $CH (Y) \to CH (Y_{F (X)})$ of Chow groups with coefficients in integers localized at $p$ is surjective in codimensions $< (dim X) / (p - 1)$ . One of the main ingredients of the proof is a computation...

On Steenbrink's conjecture.

Morihiko Saito (1991)

Mathematische Annalen

On Stöhr-Voloch's proof of Weil's Theorem.

Israel Vainsencher (1989)

Manuscripta mathematica

On subfields of $k (x)$

Victor Alexandru, Nicolae Popescu (1986)

Rendiconti del Seminario Matematico della Università di Padova

On Subvarieties of Abelian Varieties.

Ziv Ran (1980/1981)

Inventiones mathematicae

On sums of algebraic surfaces.

Robert E. Gompf (1988)

Inventiones mathematicae

On super (or pseudo) differential forms as superfunctions

Claude Billionnet (1990)

Annales de l'I.H.P. Physique théorique

On supercuspidal families of curves on a surface in positive characteristic.

Ichiro Shimada (1992)

Mathematische Annalen

On supersingular curves and Abelian varieties.

Torsten Ekedahl (1987)

Mathematica Scandinavica

On Surfaces of Class VII0 with Curves.

Iku Nakamura (1984)

Inventiones mathematicae

On surfaces of general type with pg = q = 1, K2 = 3.

Francesco Polizzi (2005)

Collectanea Mathematica

The moduli space M of surfaces of general type with pg = q = 1, K2 = g = 3 (where g is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M2 ⊂ M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M0 ⊂ M which parametrizes isomorphism classes of surfaces with birational bicanonical map.

On surfaces with p $_{𝑔}$ = q = 1 and non-ruled bicanonical involution

Carlos Rito (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

This paper classifies surfaces $S$ of general type with $p_{g} = q = 1$ having an involution $i$ such that $S / i$ has non-negative Kodaira dimension and that the bicanonical map of $S$ factors through the double cover induced by $i .$ It is shown that $S / i$ is regular and either: a) the Albanese fibration of $S$ is of genus 2 or b) $S$ has no genus 2 fibration and $S / i$ is birational to a $K 3$ surface. For case a) a list of possibilities and examples are given. An example for case b) with $K^{2} = 6$ is also constructed.

On surfaces with $p_{g} = q = 2$ and non-birational bicanonical maps.

Ciliberto, Ciro, Mendes Lopes, Margarida (2002)

Advances in Geometry

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