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FIBRATION: 作品数：21被引量：6H指数：1; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：周晓聪苏锦钿苗德成戴经国奚建清更多>>; 相关机构：首都师范大学韶关学院中山大学华南理工大学更多>>; 相关期刊：《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《Science Bulletin》《计算机研究与发展》更多>>; 相关基金：国家自然科学基金广东省自然科学基金韶关市科技计划项目广东省战略性新兴产业核心技术攻关项目更多>>

The SYZ Conjecture through Computational Equivalence: 《Advances in Pure Mathematics》2025年第2期145-181,共37页Logan Nye; We present a proof of the Strominger-Yau-Zaslow (SYZ) conjecture by demonstrating that mirror symmetry fundamentally represents an equivalence of computational structures between Calabi-Yau manifolds. Through developm...; 关键词：Mirror Symmetry Calabi-Yau Manifolds SYZ Conjecture Quantum Complexity Special Lagrangian Fibration

Quantum Fibrations:Quantum Computation on an Arbitrary Topological Space: 《Acta Mathematica Sinica,English Series》2024年第11期2693-2718,共26页Kazuki IKEDA; supported by Pacific Institute for the Mathematical Science(PIMS)postdoctoral fellowship award and by the U.S.Department of Energy,Office of Science,National Quantum Information Science Research Centers,Co-design Center for Quantum Advantage(C2QA)under Contract No.DESC0012704。; Using operator algebras,we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space.Quantum computation is usually implemented on finite discrete sets,and the pu...; 关键词：Quantum computation operator algebra von Neumann algebra FIBRATION quantum computational chemistry complexity theory

2-local unstable homotopy groups of indecomposable A^(2)_(3)-complexes: 《Science China Mathematics》2024年第3期607-626,共20页Zhongjian Zhu Jianzhong Pan; supported by National Natural Science Foundation of China (Grant No. 11701430), supported by National Natural Science Foundation of China (Grant No. 11971461)。; In this paper,we calculate the 2-local unstable homotopy groups of indecomposable A^(2)_(3)-complexes.The main technique used is analysing the homotopy property of J(A,X),defined by Gray(1973) for a CW-pair(X,A),which...; 关键词：homotopy groups A^(2)_(n)-complexes fibration sequence relative James construction

Sheaves on non-reduced curves in a projective surface: 《Science China Mathematics》2023年第2期237-250,共14页Yao Yuan; supported by National Natural Science Foundation of China(Grant Nos.21022107 and 11771229)。; Sheaves on non-reduced curves can appear in moduli spaces of 1-dimensional semistable sheaves over a surface and moduli spaces of Higgs bundles as well.We estimate the dimension of the stack M_(X)(nC,χ)of pure sheave...; 关键词：1-dimensional pure sheaves on projective surfaces Hilbert-Chow morphism Hitchin fibration STACK

A note on the generalization of the Kodaira embedding theorem: 《Science China Mathematics》2021年第7期1563-1572,共10页Chao Li Xi Zhang Qizhi Zhao; supported by National Natural Science Foundation of China(Grant Nos.11625106,11571332 and 11721101)。; In this paper,we generalize the famous Kodaira embedding theorem.; 关键词：Kodaira embedding theorem holomorphic fibration ampleness

Semipositivity of generic ordinary fibration over a curve: 《Science China Mathematics》2018年第10期1749-1758,共10页Yifei Chen Yi Gu; supported by National Natural Science Foundation of China(Grant Nos.11231003 and 11321101); Let f : X → B be a generic ordinary proper fibration over a complete curve in positive characteristics, we prove that the dual of higher direct image sheaf R^1 f_*O_X is nef. As a corollary, we show that f_*ω_(S/B) ...; 关键词：semipositivity FIBRATIONS direct image sheaf

A Survey of the Homotopy Properties of Inclusion of Certain Types of Configuration Spaces into the Cartesian Product: 《Chinese Annals of Mathematics,Series B》2017年第6期1223-1246,共24页Daciberg Lima GONCALVES John GUASCHI; supported by the CNRS/FAPESP programme no226555(France)and n^(o) 2014/50131-7(Brazil);FAPESP–Fundacao de Amparo a Pesquisa do Estado de Sao Paulo,Projeto Tematico Topologia Algebrica,Geometrica 2012/24454-8(Brazil)for partial support;the Institute for Mathematical Sciences,National University of Singapore; Let X be a topological space.In this survey the authors consider several types of configuration spaces,namely,the classical(usual)configuration spaces F_n(X)and D_n(X),the orbit configuration spaces F_n^G(X)and F_n^G(...; 关键词：Configuration space Equivariant configuration space FIBRATION Homotopy fibre K(π 1)space Braid groups

程序语言中共归纳数据类型的一种fibrations方法被引量：2: 《计算机科学》2016年第3期188-192,212,共6页苗德成奚建清戴经国苏锦钿; 国家自然科学基金项目(61103038);广东省自然科学基金项目(S2013010015944);广东省战略性新兴产业核心技术攻关项目(2011A010801008;2012A010701011;2012A010701003);韶关市科技计划项目(2013CX/K61)资助; 范畴论与共代数是程序语言中共归纳数据类型研究的传统方法,这些方法在语义行为分析与共归纳规则描述等方面存在一定的不足。针对以上问题,提出了一种fibrations方法以对共归纳数据类型的语义行为与共归纳规则进行研究。该方法系统分析...; 关键词：语义行为共归纳规则 fibrations方法共归纳数据类型提升

On base manifolds of Lagrangian fibrations: 《Science China Mathematics》2015年第3期531-542,共12页MATSUSHITA Daisuke; supported by Japan Society for Promotion of Sciences(Grant No.18684001); We consider base spaces of Lagrangian fibrations from singular symplectic varieties. After defining cohomologically irreducible symplectic varieties, we construct an example of Lagrar, gian fibration whose base space ...; 关键词：Lagrangian fibration singularity base manifolds symplectic varieties

A Note on Residue Formulas for the Euler Class of Sphere Fibrations被引量：1: 《Chinese Annals of Mathematics,Series B》2011年第4期615-618,共4页Francisco Gómez RUIZ; Project supported by the DGICYT Grant (No. MTM2007-60016);the Junta de Andalucía Grant(No. P07-FQM-2863); This paper presents a definition of residue formulas for the Euler class ot eohomology-oriented sphere fibrations ε. If the base of ε is a topological manifold, a Hopf index theorem can be obtained and, for the smoo...; 关键词：Euler class Sphere fibration Hopf index theorem Residue formulas

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