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We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses b...
The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite.
We prove the niteness of class numbers and Tate-Shafarevich sets for all ane group schemes of nite type over global function elds, as well as the niteness of Tamagawa numbers and Godement's com...
This study investigates the acquisition of post-verbal (temporal) adverbials and post-verbal negation in L2 Dutch. It is based on previous findings for L2 French that post-verbal negation poses less o...
This paper deals with a crucial step in the early development of German as a first or a second language. First and (untutored) second language learners are known to develop early learner varieties tha...
In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree st...
We discuss finiteness (effectiveness), continuity (robustness) and optimality (efficiency) results for capital requirements, or risk measures, defined for financial positions belonging to an ordered t...
Abstract: In this paper, we prove that every orientable closed 3-manifold dominates at most finitely many homeomorphically distinct irreducible non-geometric 3-manifolds. Moreover, for any integer $d>...
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Abstract: We give a new proof of the finiteness of B-representations. As a consequence of the finiteness of B-representations and Koll\'ar's gluing theory on lc centers, we prove that the (relative) a...
Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Abstract: Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely man...
Abstract: Let $\bS=\{S_1,...,S_K\}$ be a finite set of complex $d\times d$ matrices and $\varSigma_{K}^+$ the compact space of all one-sided infinite sequences $i_{\bcdot}\colon\mathbb{N}\rightarrow\{...
We study subcoalgebras of path coalgebras that are spanned by paths (called path subcoalgebras) and subcoalgebras of incidence coalgebras, and propose a unifying approach for these classes.
Given a graded sequence of ideals (a_m) on a smooth variety X, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepanc...

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