منابع مشابه
Projective bundles
A projective bundle in PG(2, q) is a collection of q + q + 1 conics that mutually intersect in a single point and hence form another projective plane of order q. The purpose of this paper is to investigate the possibility of partitioning the q5 − q2 conics of PG(2, q) into q2(q − 1) disjoint projective bundles. As a by-product we obtain a multiplier theorem for perfect difference sets that gene...
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We present a method for compactifying stacks of PGLn-torsors (Azumaya algebras) on algebraic spaces. In particular, when the ambient space is a smooth projective surface we use our methods to show that various moduli spaces are irreducible and carry natural virtual fundamental classes. We also prove a version of the Skolem-Noether theorem for certain algebra objects in the derived category, whi...
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P. Ellia and G.Sacchiero have shown that if S is a smooth surface in P which is ruled in conics, then S has degree 4 or 5 (cf. [ES]). In this paper we give a proof of this result combining the ideas of Ellia and Sacchiero as they are used in the paper of the second author on plane curve fibrations [Ra] and the recent work of G. Fløystad and the first author bounding the degree of smooth surface...
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Let X be a (quasi-projective) variety over k. We follow [Sha13, Chap. 6, §1.2].
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Let X be a projective bundle. We prove that X admits an endomorphism of degree > 1 and commuting with the projection to the base, if and only if X trivializes after a finite covering. When X is the projectivization of a vector bundle E of rank 2, we prove that it has an endomorphism of degree > 1 on a general fiber only if E splits after a finite base change. It is clear that, for a complex pro...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 1994
ISSN: 1370-1444
DOI: 10.36045/bbms/1103408578