On the Normal Bundle of Curves on Complete Intersection Surfaces.
Klaus Hulek, Joe Harris (1983)
Mathematische Annalen
G. Ellingsrud, L. Gruson, C. Peskine (1985)
Inventiones mathematicae
Karl Schwede, Kevin Tucker (2010)
Annales de l’institut Fourier
Let be a projective Frobenius split variety with a fixed Frobenius splitting . In this paper we give a sharp uniform bound on the number of subvarieties of which are compatibly Frobenius split with . Similarly, we give a bound on the number of prime -ideals of an -finite -pure local ring. Finally, we also give a bound on the number of log canonical centers of a log canonical pair. This final variant extends a special case of a result of Helmke.
Mario Salvetti (1989)
Manuscripta mathematica
Zbigniew Szafraniec (1991)
Mathematische Annalen
Andreas-Stephan Elsenhans, Jörg Jahnel (2012)
Open Mathematics
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
Eiji Horikawa (1978)
Mathematische Annalen
Eiji Horikawa (1978)
Mathematische Annalen
Francois R. Cossec (1985)
Mathematische Annalen
Tetsuji Shioda (1981)
Annales scientifiques de l'École Normale Supérieure
Cinzia Casagrande (2012)
Annales scientifiques de l'École Normale Supérieure
Let be a complex Fano manifold of arbitrary dimension, and a prime divisor in . We consider the image of in under the natural push-forward of -cycles. We show that . Moreover if , then either where is a Del Pezzo surface, or and has a fibration in Del Pezzo surfaces onto a Fano manifold such that .
Jan Stienstra, Frits Beukers (1985)
Mathematische Annalen
Kenji Ueno (1975)
Mathematische Annalen
Yujiro Kawamata (1986)
Mathematische Annalen
Mauro C. Beltrametti, A.J. Sommenese (1993)
Mathematische Zeitschrift
Azad, Hassan, Biswas, Indranil (2004)
Journal of Lie Theory
Andrew John Sommese (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Kai-Cheong Mong (1991)
Mathematische Zeitschrift
E. Thomas, A.T. Vasquez (1980)
Mathematische Annalen
Frédéric Campana, Thomas Peternell (1992)
Compositio Mathematica