1 - 10 of 12 articles
Abstract On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.
Abstract We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.
Abstract Here we study the deformation theory of some maps f: X → ℙr , r = 1, 2, where X is a nodal curve and f|T is not constant for every irreducible component T of X. For r = 1 we show that the “stratification by gonality” for any subset of with fixed topological type behaves like the...
Abstract We show that the moduli space of SUX (r, L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
Abstract In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.
Abstract We prove that an equational class of Hilbert algebras cannot be defined by a single equation. In particular Hilbert algebras and implication algebras are not one-based. Also, we use a seminal theorem of Alfred Tarski in equational logic to characterize the set of cardinalities of all...
Abstract We show that two continuous inverse limit actions α and β of a locally compact group G on two pro-C *-algebras A and B are stably outer conjugate if and only if there is a full Hilbert A-module E and a continuous action u of G on E such that E and E *(the dual module of E) are countably...
Abstract This paper is one in a series generalizing our results in (12, 14, 15, 20) on the existence of extremal metrics to the general almost-homogeneous manifolds of cohomogeneity one. In this paper, we consider the affine cases with hypersurface ends. In particular, we study the existence of...
Abstract We determine the admissible forms for the Ricci operator of three-dimensional locally homogeneous Lorentzian manifolds.
Abstract We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in (8), must be totally geodesic.
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