1 - 9 of 9 articles
Abstract Recently Andrews introduced the concept of signed partition: a signed partition is a finite sequence of integers a k , . . . , a 1 , a −1 , . . . , a −l such that a k ≥ ... ≥ a 1 > 0 > a −1 ≥ ... ≥ a −l . So far the signed partitions have been studied from an arithmetical point of view....
Abstract We use vector-bundle techniques in order to compute dimW 1 d (C) where C is general and smooth in a linear system on an unnodal Enriques surface. We furthermore find new examples of smooth curves on Enriques surfaces with an infinite number of g 1 gon(C) ’s.
Abstract We establish versions of Michael’s Selection Theorem and Tietze’s Extension Theorem in the category of semilinear maps.
Abstract We prove that among the quasi-simple Lie groups only the group SL 4 (ℝ) occurs as the multiplication group of 3-dimensional connected topological loops L. These loops L are homeomorphic to the sphere S 3 . Moreover, there does not exist any connected topological loop having an at most...
Abstract The finite field Kakeya problem asks both the minimum size of a point set inAG(2, q)which contains a line in every direction, as well as a characterization of the examples. Blokhuis and Mazzocca (2) solved this problem, and a subsequent paper (1) addresses the stability of this solution...
Abstract We give necessary and sufficient criteria for a smooth Enriques surface S ⊂ ℙ r to be scheme-theoretically an intersection of quadrics. Moreover we prove in many cases that, when S contains plane cubic curves, the intersection of the quadrics containing S is the union of S and the...
Abstract We introduce topological contact dynamics of a smooth manifold carrying a cooriented contact structure, generalizing previous work in the case of a symplectic structure (27) or a contact form (5). A topological contact isotopy is not generated by a vector field; nevertheless, the group...
Abstract We study the existence of invariant metrics with holonomy G* 2(2) ⊂ SO(4, 3) on compact nilmanifolds, i.e. on compact quotients of nilpotent Lie groups by discrete subgroups. We prove that, up to isomorphism, there exists only one indecomposable nilpotent Lie algebra admitting a...
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