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Search Results: 1 - 10 of 52436 matches for " Yi Hu "
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Durning 11th Five-Year Plan Period, China's Social Changes Analysis
Yi Hu
Asian Social Science , 2009, DOI: 10.5539/ass.v4n8p52
Abstract: Applying comparative institutional analysis method, based on the the analysis of typical cases , in the framework of Marxist historical materialism, this article discuss the path and direction of Chinese Social Change during 11th Five-Year Plan period, we get a new form of government with a kind of indirect elections and the relative concentration of power in the People's Congress (parliament), consistent with the principle of separation of powers, it has important reference value for the reform of transition countries.
A Cognitive Perspective of the Chinese and English Expressions for the Concept of “Present”
Yi HU
Canadian Social Science , 2008,
Abstract: Human beings are the only species that can perceive the existence of time. However, the linguistic expressions for the concept of time are usually indirect. From a cognitive linguistic point of view, the concept of time is materialized via the TIME-AS-SPACE metaphor. However, each culture has its own conceptualization of time, and thus there are various cognitive models for a particular time concept. This paper tries to identify and analyze the Chinese and English expressions for the concept of “present”, so as to establish the cognitive models for this concept in Chinese culture and in English culture respectively. Key words: cognitive model, time concept, present Résumé: L’être humain est la seule espèce qui peut percevoir l’existence de temps. Cependant, pour le concept de temps, les expressions linguistiques sont normalement indirectes. Du point de vue linguistique cognitive, le concept de temps est matérialisé par la métaphore TEMPS-COMME-ESPACE. Cependant, chaque culture a sa propre conceptualisation de temps, donc il y a différents modèles cognitifs pour un particulaire concept de temps. Cette mémoire essaie d’identifier et analyser les expressions chinoise et anglaise pour le concept de présent, afin d’établir les modèles cognitifs pour ce concept dans la culture chinoise et dans la culture anglaise respectivement. Mots-Clés: modèle cognitif, concept de temps, présent
Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves
Yi Hu
Mathematics , 2004,
Abstract: In this paper we provide some stability criteria for systems of linear subspaces of $V \otimes W$ and for systems of quotient coherent sheaves, using, respectively, the Hilbert-Mumford numerical criterion and moment map. Along the way, we generalize the Gelfand-MacPherson correspondence [11] from point sets to sets of linear subspaces (of various dimensions). And, as an application, we provide some examples of $G$-ample cones without any top chambers. The results of this paper are based upon and/or generalize some earlier works of Klyachko [18], Totaro [28], Gelfand-MacPherson [11], Kapranov [17], Foth-Lozano [8], Simpson [24], Wang [30], Phong-Sturm [22], Zhang [32] and Luo [20], among others.
Geometric Invariant Theory and Birational Geometry
Yi Hu
Mathematics , 2005,
Abstract: In this paper we will survey some recent developments in the last decade or so on variation of Geometric Invariant Theory and its applications to Birational Geometry such as the weak Factorization Theorems of nonsingular projective varieties and more generally projective varieties with finite quotient singularities. Along the way, we will also mention some progresses on birational geometry of hyperK\"ahler manifolds as well as certain open problems and conjectures.
Factorization Theorem for Projective Varieties with Finite Quotient Singularities
Yi Hu
Mathematics , 2005,
Abstract: In this paper, we prove that any two birational projective varieties with finite quotient singularities can be realized as two geometric GIT quotients of a non-singular projective variety by a reductive algebraic group. Then, by applying the theory of Variation of Geometric Invariant Theory Quotients ([3]), we show that they are related by a sequence of GIT wall-crossing flips.
Quotients by Reductive Group, Borel Subgroup, Unipotent Group and Maximal Torus
Yi Hu
Mathematics , 2006,
Abstract: Consider an algebraic action of a connected complex reductive algebraic group on a complex polarized projective variety. In this paper, we first introduce the nilpotent quotient, the quotient of the polarized projective variety by a maximal unipotent subgroup. Then, we introduce and investigate three induced actions: one by the reductive group, one by a Borel subgroup, and one by a maximal torus, respectively. Our main result is that there are natural correspondences among quotients of these three actions. In the end, we mention a possible application to the moduli spaces of parabolic bundles over algebraic curves for further research.
Notes on Virtual Fundamental Classes
Yi Hu
Mathematics , 2011,
Abstract: The paper has been withdrawn.
Relative Geometric Invariant Theory and Universal Moduli Spaces
Yi Hu
Mathematics , 1995,
Abstract: We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the $G$-effective ample cone. We then apply this principle to construct and reconstruct various universal moduli spaces. In particular, we constructed the universal moduli space over $\overline{M_g}$ of Simpson's $p$-semistable coherent sheaves and a canonical dominating morphism from the universal Hilbert scheme over $\overline{M_g}$ to a compactified universal Picard.
Combinatorics and Quotients of Toric Varieties
Yi Hu
Mathematics , 2000,
Abstract: This paper studies two related subjects. One is some combinatorics arising from linear projections of polytopes and fans of cones. The other is quotient varieties of toric varieties. The relation is that projections of polytopes are related to quotients of projective toric varieties and projection of fans are related to quotients of general toric varieties. Despite its relation to geometry the first part is purely combinatorial and should be of interest in its own right.
Topological Aspects of Chow Quotients
Yi Hu
Mathematics , 2003,
Abstract: This paper studies the canonical Chow quotient of a smooth projective variety by a reductive algebraic group. The main purpose is to give some topological interpretations and characterization of Chow quotient which have the advantage to be more intuitive and geometric. This is to be done over the field of complex numbers and in the languages that are familiar to topologists and differential geometers. More precisely, the main observation of this paper is that, over the field of complex numbers, the Chow quotient admits symplectic and other topological interpretations, namely, symplectically, the moduli spaces of stable orbits with prescribed momentum charges; and topologically, the moduli space of stable action-manifolds. In addition, we give a computable characterization of the Chow cycles of the Chow quotient, using the so-called perturbing-translating-specializing relation.
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