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Shintarô Kuroki DongYoup Suh 《Proceedings of the Steklov Institute of Mathematics》2014,286(1):285-307
A complex projective tower, or simply a ?P-tower, is an iterated complex projective fibration starting from a point. In this paper we classify all six-dimensional ?P-towers up to diffeomorphism, and as a consequence we show that all such manifolds are cohomologically rigid, i.e., they are completely determined up to diffeomorphism by their cohomology rings. 相似文献
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Philippe Monnier 《Israel Journal of Mathematics》2002,129(1):189-207
It is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson
structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures onG
2 (G=ℝ or ℂ) and recall a result given by Arnold. Then we will compute locally the Poisson cohomology of a particular type of
Poisson structure. 相似文献
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Abstract We construct an example of an IA-automorphism of the free metabelian group of rank n ≥ 3 without nontrivial fixed points. That gives a negative answer to the question raised by Shpilrain in [Shpilrain, V. (1998). Fixed points of endomorphisms of a free metabelian group. Math. Proc. Cambridge Philos. Soc. 123(1): 75–83. MR 98k:20056]. By a result of Bachmuth [Bachmuth, S. (1965). Automorphisms of free metabelian groups. Trans. Am. Math. Soc. 118:93–1104. MR 31 #4831], such an automorphism does not exist if the rank is equal to 2. 相似文献
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This paper proves a generalization of Shafarevich's Conjecture, for fields of Laurent series in two variables over an arbitrary field. This result says that the absolute Galois group GK of such a field K is quasi-free of rank equal to the cardinality of K, i.e. every non-trivial finite split embedding problem for GK has exactly proper solutions. We also strengthen a result of Pop and Haran-Jarden on the existence of proper regular solutions to split embedding problems for curves over large fields; our strengthening concerns integral models of curves, which are two-dimensional. 相似文献
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Holger Brenner. 《Mathematics of Computation》2005,74(251):1495-1518
We study computational aspects of the tight closure of a homogeneous primary ideal in a two-dimensional normal standard-graded domain. We show how to use slope criteria for the sheaf of relations for generators of the ideal to compute its tight closure. In particular, our method gives an algorithm to compute the tight closure of three elements under the condition that we are able to compute the Harder-Narasimhan filtration. We apply this to the computation of in , where is a homogeneous polynomial.
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We show that the number of components of the complement of the closure of a coamoeba of an algebraic curve \(f^{-1}(0)\) on the complex torus \(({\mathbb C}^*)^2\) is at most two times the area of the Newton polygon of \(f\) . This is an affirmative answer for the two-dimensional case to a conjecture by Mikael Passare. 相似文献
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Mathematical Programming - Lattice-free gradient polyhedra can be used to certify optimality for mixed integer convex minimization models. We consider how to construct these polyhedra for... 相似文献
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Luca Brandolini 《Annali di Matematica Pura ed Applicata》1990,156(1):231-242
Summary Let D denote the interior of a piecewise regular curve of R2 having a point with Gauss curvature different from zero. We show that the Lebesgue constants L
D
relative to D behave like 1/2 as . 相似文献
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Dr. H. Siebert 《Monatshefte für Mathematik》1976,82(4):327-336
The most well-known application of Montgomery's weighted sieve is to the so-called Brun-Titchmarsh inequality, which was proved byH. L. Montgomery andR. C. Vaughan in the form (x, k, l)2x((k)log(x/k))–1 for 1k<x, (k, l)=1, (x, k, l) being the number of primespx andpl modk, (k) being Euler's function. In this paper an upper estimate is given for a certain class of two-dimensional sieve problems, among them bounds for the number of twin primes and the number of Goldbach representations. 相似文献
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Motivated by results of Cline, Parshall and Scott on quasi-hereditary algebras, in [8] the concept of a quasi-hereditary order
is introduced in integral representation theory. In this note we show that the results of Dlab and Ringel on quasi-hereditary
semiprimary rings and hereditary artinian rings presented in [6] have integral analogues in the theory of orders. In particular,
we prove as our main result the followingTheorem: An order of global dimension at most two over a complete Dedekind domain R in a separable algebra over the quotient field
of R is quasi-hereditary. 相似文献
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This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings in the context of (locally) essential domains.
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Bill Sands 《Discrete Mathematics》1980,29(3):287-292
The dimension of a partially ordered set P is the smallest integer n (if it exists) such that the partial order on P is the intersection of n linear orders. It is shown that if L is a lattice of dimension two containing a sublattice isomorphic to the modular lattice M2n+1, then every generating set of L has at least n+2 elements. A consequence is that every finitely generated lattice of dimension two and with no infinite chains is finite. 相似文献
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