Rationally connected varieties over local fields.
Displaying 81 – 100 of 128
Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II
Fabrizio Catanese, Frédéric Mangolte (2009)
Annales scientifiques de l'École Normale Supérieure
Let be a real smooth projective 3-fold fibred by rational curves such that is orientable. J. Kollár proved that a connected component of is essentially either Seifert fibred or a connected sum of lens spaces. Answering three questions of Kollár, we give sharp estimates on the number and the multiplicities of the Seifert fibres (resp. the number and the torsions of the lens spaces) when is a geometrically rational surface. When is Seifert fibred over a base orbifold , our result generalizes...
Reduction of the proof of the non-rationality of a non-singular cubic threefold to a result of mumford
J. P. Murre (1973)
Compositio Mathematica
Relations between moduli spaces of stable bundles over ...2 and rationality.
Wei-Ping Li (1997)
Journal für die reine und angewandte Mathematik
Schichten von Matrizen sind rationale Varietäten.
Klaus Bongartz (1989)
Mathematische Annalen
Smooth Rational Curves on Enriques Surfaces.
F Cossec, I. Dolgachev (1985)
Mathematische Annalen
Smoothing Cusp Singularities of Small Length.
Rick Miranda, Robert Friedman (1983)
Mathematische Annalen
Smoothings of cusp singularities via triangle singularities
Robert Friedman, Henry Pinkham (1984)
Compositio Mathematica
Some more examples of curves in P3 with stable normal bundle.
E. Ballico, Ph. Ellia (1984)
Journal für die reine und angewandte Mathematik
Some Results on Unirationality of Algebraic Surfaces.
Tetsuji Shioda (1977)
Mathematische Annalen
Stable rationality of certain PGLn-quotients.
Christine Bessenrodt, Lieven Le Bruyn (1991)
Inventiones mathematicae
Stably rational algebraic tori
Valentin E. Voskresenskii (1999)
Journal de théorie des nombres de Bordeaux
The rationality of a stably rational torus with a cyclic splitting field is proved.
Surfaces rationnelles non-spéciales dans IP4.
James Alexander (1988/1989)
Mathematische Zeitschrift
The Bogomolov multiplier of groups of order and exponent
Zeinab Araghi Rostami, Mohsen Parvizi, Peyman Niroomand (2024)
Czechoslovak Mathematical Journal
We conduct an in-depth investigation into the structure of the Bogomolov multiplier for groups of order and exponent . We present a comprehensive...
The Hasse problem for rational surfaces.
H.P.F. Swinnerton-Dyer, B.J. Birch (1975)
Journal für die reine und angewandte Mathematik
The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.
A. Conte, J.P. Murre (1978)
Mathematische Annalen
The jacobian map, the jacobian group and the group of automorphisms of the Grassmann algebra
Vladimir V. Bavula (2010)
Bulletin de la Société Mathématique de France
There are nontrivial dualities and parallels between polynomial algebras and the Grassmann algebras (e.g., the Grassmann algebras are dual of polynomial algebras as quadratic algebras). This paper is an attempt to look at the Grassmann algebras at the angle of the Jacobian conjecture for polynomial algebras (which is the question/conjecture about the Jacobian set– the set of all algebra endomorphisms of a polynomial algebra with the Jacobian – the Jacobian conjecture claims that the Jacobian...
The Modell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3.
Hiroyuki Ito (1992)
Mathematische Zeitschrift
The non rationality of the generic Enriques' threefold
Luciana Picco Botta, Alessandro Verra (1983)
Compositio Mathematica
The rationality of some moduli spaces of plane curves
N. I. Shepherd-Barron (1988)
Compositio Mathematica