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In this article we generalize our integral characterization of the Andreotti-Mayer locus given in an earlier paper to a more general situation. Given a family
of smooth, projective, n-dimensional, complex varieties and a hermitian vector bundle
Let X be a connected graph. An automorphism of X is said to be parabolic if it leaves no finite subset of vertices in X invariant and fixes precisely one end of X and hyperbolic if it leaves no finite subset of vertices in X invariant and fixes precisely two ends of X. Various questions...
We obtain some non-reducibility results concerning some natural equivalence relations on reals in the Solovay model. The proofs use the existence of reals x which are minimal with respect to the cardinals in L[x], in a certain sense.
We prove that a graph of edge-connectivity at least
has an edge-decomposition into paths of length 4 if and only its size is divisible by 4. We also prove that a graph of girth >m and of edge-connectivity at least 8
has an edge-decomposition into paths of length m...
Let q be an odd prime, m a positive integer, and let Γ
(q) be the group generated by two elements x and y subject to the relations x
=1 and x
; that is, Γ
(q) is the free product of two cyclic groups of orders 2m respectively qm, amalgamated along their subgroups of order m....
We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those flows carrying non-trivial solutions.
Topological André-Quillen homology for commutative S-algebras was introduced by Basterra following work of Kriz, and has been intensively studied by several authors. In this paper we discuss it as a homology theory on CW commutative S-algebras and apply it to obtain results on minimal atomic...
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