We give some birationality criteria for m(m = 4,5,6,7) on general type 3-folds with pg 2 by means of an intensive classification. In particular,we show that 7 is not birational if and only if pg(X) = 2and X admits a g...We give some birationality criteria for m(m = 4,5,6,7) on general type 3-folds with pg 2 by means of an intensive classification. In particular,we show that 7 is not birational if and only if pg(X) = 2and X admits a genus 2 curve family of canonical degree23. When the canonical volume is large,we also characterize the birationality of 4,5 and 6.展开更多
We investigate birationality of the anti-pluricanonical map Φ-m,the rational map defined by the anti-pluricanonical system |-mKX|,on weak Q-Fano 3-folds.
Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for...Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for Noether inequalities for minimal 3-folds of general type.展开更多
The aim of this paper is to study 6-canonical system of a nonsingular minimal 3-fold X. If|2Kx|is not composed of pencils, it is shown that is birational with possible exceptionsfor:
5-（Hydroxymethyl） isophthalic acid （H2HIA） as a novel organic ligand was prepared from 3,5-bis（methoxycarbonyl）benzoic acid by a two-step method. And then, a 3D helical coor- dination polymer with a 3-fold inter...5-（Hydroxymethyl） isophthalic acid （H2HIA） as a novel organic ligand was prepared from 3,5-bis（methoxycarbonyl）benzoic acid by a two-step method. And then, a 3D helical coor- dination polymer with a 3-fold interpenetration structure, namely [Zn1/2（HIA）1/2（DPEE）1/2]n （1）, was hydrothermally synthesized at 160 ℃, using H2HIA ligands to assemble with DPEE ligands and Zn2＋ ions. Complex 1 crystalizes in orthorhombic system, space group Pnna, with a = 8.2118（5）, b = 17.1698（7）, c =14.9922（7） ？, V = 2113.82（18） ？3, μ = 1.194 mm-1, Z = 4 and S = 0.967. Moreover, some physical characteristics of complex 1, such as powder X-ray diffraction （PXRD）, thermogravimetry analyses （TGA） and photoluminescent properties, were also investigated.展开更多
A new three-dimensional（3D） coordination polymer, [Cd（L）2H2O]n·5nH2O 1 with 4-[（3-pyridyl）methylamino]benzoate acid（HL）, has been synthesized by slow evaporation solvent at room temperature, and structura...A new three-dimensional（3D） coordination polymer, [Cd（L）2H2O]n·5nH2O 1 with 4-[（3-pyridyl）methylamino]benzoate acid（HL）, has been synthesized by slow evaporation solvent at room temperature, and structurally characterized by elemental analysis, IR spectrum, thermal analysis, fluorescence spectrum and single-crystal X-ray diffraction. Compound 1 crystallizes in the tetragonal system, space group I-4, with a = 20.7937（16）, c = 13.515（2）, V = 5843.5（11） 3, C26H34CdN4O10, Mr = 674.97, Dc = 1.534 g/cm3, μ（MoKα） = 0.808 mm-1, F（000） = 2768, Z = 8, the final R = 0.0276 and wR = 0.0691 for 5323 observed reflections（I 〉 2σ（I））. The result of thermal analysis shows that 1 is stable under 290 ℃. Moreover, it exhibits blue photoluminescence at room temperature.展开更多
Carbon nanotubes flower (CNTs-F) films were prepared by catalytic chemical vapor deposition (CVD) on a platinum (Pt) thin layer, supported on a silicon wafer. The products were synthesized from an aerosol composed of ...Carbon nanotubes flower (CNTs-F) films were prepared by catalytic chemical vapor deposition (CVD) on a platinum (Pt) thin layer, supported on a silicon wafer. The products were synthesized from an aerosol composed of ferrocene and toluene, as catalyst and carbon precursor respectively, at 820. The high synthesis temperature induces a modification of a Pt thin layer to a nano-structured island giving rise to the formation of CNTs-F during the following films growth step by CVD process. The suggested mechanism involves the selective diffusion of the catalyst and carbon atoms through the Pt grain boundaries. This results in the appearance of flower-like structures with 3-and 4-fold symmetries.展开更多
We consider a parametrized family of compact G2-calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G2-structure. We also study the Laplacian flow ...We consider a parametrized family of compact G2-calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G2-structure. We also study the Laplacian flow of this closed G2 form on the solvable Lie group underlying to each of these solvmanifolds, and show long time existence of the solution.展开更多
Two fascinating Zn（II）entangled coordination polymers,[Zn（eoba）(bbi)];·nH;O（1）and[Zn（boba）(bbi);];（2）,(bbi=1,1?-（1,4-butanediyl）-bis（imidazole）,H;eoba=4,4?-（ethane-1,2-diyldioxy）-dibenzoic acid,H;...Two fascinating Zn（II）entangled coordination polymers,[Zn（eoba）(bbi)];·nH;O（1）and[Zn（boba）(bbi);];（2）,(bbi=1,1?-（1,4-butanediyl）-bis（imidazole）,H;eoba=4,4?-（ethane-1,2-diyldioxy）-dibenzoic acid,H;boba=4,4?-（butane-1,4-diyldioxy）-dibenzoic acid),were obtained by hydrothermal technology and characterized by elemental analysis,infrared spectrum,thermogravimetric analysis and single-crystal X-ray diffraction.1 is a rare 2D→3D example with a 3-fold parallel interpenetration and polycatenaned architecture.2 features a scarce2D→2D example with a 3-fold parallel interpenetrating network which possesses polyrotaxane and polycatenane characters.Moreover,the luminescent properties of 1 and 2 have been discussed.展开更多
Two new 2 D → 2 D zinc(II) coordination polymers, [Zn(btre)0.5(nbdc)(H2 O)]n(1) and {[Zn(btre)0.5(Me Oip)(H2 O)2]·H2 O}n(2)(btre = 1,2-bis(1,2,4-triazol-4-yl)ethane, nbdc=3-nitro-1, 2-benzenedicarboxylate, Me Oi...Two new 2 D → 2 D zinc(II) coordination polymers, [Zn(btre)0.5(nbdc)(H2 O)]n(1) and {[Zn(btre)0.5(Me Oip)(H2 O)2]·H2 O}n(2)(btre = 1,2-bis(1,2,4-triazol-4-yl)ethane, nbdc=3-nitro-1, 2-benzenedicarboxylate, Me Oip=4-methoxybenzene-1, 3-dicarboxylate) were synthesized at room temperature condition and characterized by IR spectra, elemental analyses, single-crystal and powder X-ray diffractions. Three sets of equivalent 2 D(6, 3) networks parallel polycatenated with each other to give a 2 D → 2 D network in 1 and 2. There are strong π-π interactions and hydrogen bonding interactions between adjacent parallel polycatenated 2 D(6, 3) network in 1. Only hydrogen bonding interactions exist in 2. Thermal stabilities and luminescence of 1 and 2 were investigated.展开更多
基金supported by National Natural Science Foundation of China(GrantNos.11171068,11121101 and 11231003)
文摘We give some birationality criteria for m(m = 4,5,6,7) on general type 3-folds with pg 2 by means of an intensive classification. In particular,we show that 7 is not birational if and only if pg(X) = 2and X admits a genus 2 curve family of canonical degree23. When the canonical volume is large,we also characterize the birationality of 4,5 and 6.
基金supported by National Outstanding Young Scientist Foundation (Grant No.10625103)National Natural Science Foundation of China (Grant No. 10731030)
文摘We investigate birationality of the anti-pluricanonical map Φ-m,the rational map defined by the anti-pluricanonical system |-mKX|,on weak Q-Fano 3-folds.
基金supported by the Innovation Team Foundation of the Department of Education of Zhejiang Province(Grant No.T200924)
文摘Let V be a smooth projective 3-fold of general type. We show that the canonical volume K3 of V has a lower bound 1/10 provided q（V） 〉 0 and Ka ≥ 3 provided P4（V） ≥ 5. We also give some clean and better form for Noether inequalities for minimal 3-folds of general type.
文摘The aim of this paper is to study 6-canonical system of a nonsingular minimal 3-fold X. If|2Kx|is not composed of pencils, it is shown that is birational with possible exceptionsfor:
基金supported by the Natural Science Foundation of Guizhou Province(20122344)125 program of Guizhou Education Department(2012015)the Doctoral Scientific Fund of Zunyi Normal College(2012BSJJ12)
文摘5-（Hydroxymethyl） isophthalic acid （H2HIA） as a novel organic ligand was prepared from 3,5-bis（methoxycarbonyl）benzoic acid by a two-step method. And then, a 3D helical coor- dination polymer with a 3-fold interpenetration structure, namely [Zn1/2（HIA）1/2（DPEE）1/2]n （1）, was hydrothermally synthesized at 160 ℃, using H2HIA ligands to assemble with DPEE ligands and Zn2＋ ions. Complex 1 crystalizes in orthorhombic system, space group Pnna, with a = 8.2118（5）, b = 17.1698（7）, c =14.9922（7） ？, V = 2113.82（18） ？3, μ = 1.194 mm-1, Z = 4 and S = 0.967. Moreover, some physical characteristics of complex 1, such as powder X-ray diffraction （PXRD）, thermogravimetry analyses （TGA） and photoluminescent properties, were also investigated.
基金supported by the Science and Technology Development Project of Jilin Provincial Science & Technology Department(201205080)the Science and Technology Research Projects of the Education Office of Jilin Province(No.2013.384)
文摘A new three-dimensional（3D） coordination polymer, [Cd（L）2H2O]n·5nH2O 1 with 4-[（3-pyridyl）methylamino]benzoate acid（HL）, has been synthesized by slow evaporation solvent at room temperature, and structurally characterized by elemental analysis, IR spectrum, thermal analysis, fluorescence spectrum and single-crystal X-ray diffraction. Compound 1 crystallizes in the tetragonal system, space group I-4, with a = 20.7937（16）, c = 13.515（2）, V = 5843.5（11） 3, C26H34CdN4O10, Mr = 674.97, Dc = 1.534 g/cm3, μ（MoKα） = 0.808 mm-1, F（000） = 2768, Z = 8, the final R = 0.0276 and wR = 0.0691 for 5323 observed reflections（I 〉 2σ（I））. The result of thermal analysis shows that 1 is stable under 290 ℃. Moreover, it exhibits blue photoluminescence at room temperature.
基金the Conseil Regional of PACA,the Conseil Général du Var,and Toulon Provence Mediterranean for their financial support.
文摘Carbon nanotubes flower (CNTs-F) films were prepared by catalytic chemical vapor deposition (CVD) on a platinum (Pt) thin layer, supported on a silicon wafer. The products were synthesized from an aerosol composed of ferrocene and toluene, as catalyst and carbon precursor respectively, at 820. The high synthesis temperature induces a modification of a Pt thin layer to a nano-structured island giving rise to the formation of CNTs-F during the following films growth step by CVD process. The suggested mechanism involves the selective diffusion of the catalyst and carbon atoms through the Pt grain boundaries. This results in the appearance of flower-like structures with 3-and 4-fold symmetries.
文摘We consider a parametrized family of compact G2-calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G2-structure. We also study the Laplacian flow of this closed G2 form on the solvable Lie group underlying to each of these solvmanifolds, and show long time existence of the solution.
基金Supported by the Science and Technology Development plan of Jilin Province(20150520006JH)Science and Technology Research Project of Education Department of Jilin province(2016219,JJKH20180776KJ)Science and Technology Development plan of Siping City(2013055)
文摘Two fascinating Zn（II）entangled coordination polymers,[Zn（eoba）(bbi)];·nH;O（1）and[Zn（boba）(bbi);];（2）,(bbi=1,1?-（1,4-butanediyl）-bis（imidazole）,H;eoba=4,4?-（ethane-1,2-diyldioxy）-dibenzoic acid,H;boba=4,4?-（butane-1,4-diyldioxy）-dibenzoic acid),were obtained by hydrothermal technology and characterized by elemental analysis,infrared spectrum,thermogravimetric analysis and single-crystal X-ray diffraction.1 is a rare 2D→3D example with a 3-fold parallel interpenetration and polycatenaned architecture.2 features a scarce2D→2D example with a 3-fold parallel interpenetrating network which possesses polyrotaxane and polycatenane characters.Moreover,the luminescent properties of 1 and 2 have been discussed.
基金Supported by the National Natural Science Foundation of China(21271035)the Natural Science Foundation of Anhui Province(KJ2016A512)the Key Projects of Anhui Province University Outstanding Youth Talent Support Program(gxyqZD2016372)
文摘Two new 2 D → 2 D zinc(II) coordination polymers, [Zn(btre)0.5(nbdc)(H2 O)]n(1) and {[Zn(btre)0.5(Me Oip)(H2 O)2]·H2 O}n(2)(btre = 1,2-bis(1,2,4-triazol-4-yl)ethane, nbdc=3-nitro-1, 2-benzenedicarboxylate, Me Oip=4-methoxybenzene-1, 3-dicarboxylate) were synthesized at room temperature condition and characterized by IR spectra, elemental analyses, single-crystal and powder X-ray diffractions. Three sets of equivalent 2 D(6, 3) networks parallel polycatenated with each other to give a 2 D → 2 D network in 1 and 2. There are strong π-π interactions and hydrogen bonding interactions between adjacent parallel polycatenated 2 D(6, 3) network in 1. Only hydrogen bonding interactions exist in 2. Thermal stabilities and luminescence of 1 and 2 were investigated.
