1 - 10 of 10 articles
This paper investigates Hilbert polynomials of bigraded algebras which are generated by elements of bidegrees $(1,0), (d_1,1),\ldots,(d_r,1)$, where $d_1,\ldots,d_r$ are non-negative integers. The obtained results can be applied to study Rees algebras of homogeneous ideals and their diagonal...
Let G be a group and E an idempotent matrix with entries in the complex group algebra C
G. In this paper, we study arithmetic properties of the coefficients r
(g), gG, of the Hattori-Stallings rank r
of E. Bass proved in  that the r
(g)’s are algebraic numbers. Following Zaleskii,...
The exterior nonstationary problem is studied for the 3D Navier-Stokes equations. The L
-summability is proved for smooth solutions which correspond to initial data satisfying certain symmetry and moment conditions. The result is then applied to show that such solutions decay in time more...
Let G be a finitely generated pro-p group, and for every natural number n let s
(G) denote the number of subgroups of index at most n in G. The group G is said to have polynomial subgroup growth (PSG), if there exists αℝ≥0 such that s
for all nℕ. In this paper we investigate the...
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as defined on metric measure spaces. Various definitions for modulus and capacity are shown to coincide for general collections of metric measure spaces. Consequently, modulus is shown to be upper...
For minimal surfaces in spheres, there is a well known conjecture about the quantization of intrinsic curvature which has been solved only in special cases so far. We recall an intrinsic and an extrinsic version for the known results and extend them to compact non-minimal surfaces in spheres. In...
Let X be a Banach space with a countable unconditional basis (e.g., X=ℓ2), Ω⊂X open. We show that Ω is pseudoconvex if and only if for each affine complex line L in X the sheaf cohomology group H
(Ω,I) vanishes, where I is the ideal sheaf of all holomorphic functions on Ω that vanish on Ω∩L....
Mathematics Subject Classification (2000): 32E10, 32E05, 32U05.
We describe properties of the Kähler cone of general Calabi-Yau-threefolds with Picard number ρ(X)=2 and prove the rationality of the Kähler cone, if X is a Calabi-Yau-hypersurface in a ℙ2-bundle over ℙ2 and c
(X)≤−54. Without the latter assumption we prove the positivity of c
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