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Stability of hypersurface sections of quadric threefolds被引量：1
《Science China Mathematics》2015年第3期479-486,共8页BYUN SangHo LEE YongNam 
supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Korea government(MSIP)(Grant No.2013006431);the National Research Foundation of Korea funded by the Korea government(MSIP)(Grant No.2013042157)
Let S be a complete intersection of a smooth quadric 3-fold Q and a hypersurface of degree d in P4.We analyze GIT stability of S with respect to the natural G=SO(5,C)-action.We prove that if d 4 and S has at worst sem...
关键词：quadric threefold hypersurface section STABILITY geometric invariant theory 
Convergence of random zeros on complex manifolds
《Science China Mathematics》2008年第4期707-720,共14页Bernard SHIFFMAN 
Research partially supported by the Notional Science Foundation(Grant No.DMS-0600982)
We show that the zeros of random sequences of Gaussian systems of polynomials of increasing degree almost surely converge to the expected limit distribution under very general hypotheses. In particular, the normalized...
关键词：random polynomial ample line bundle zeros of holomorphic sections equilibrium measure 32A60 32L10 60G99 
On multiply of sections of line bundles on compact Riemann surfaces
《Science China Mathematics》2008年第4期721-727,共7页TAN XiaoJiang LMAM and School of Mathematical Sciences Peking University Beijing 100871 China 
In this paper,we give some conditions on the surjective of multiply maps H^0(R,L)×H^0(R,K)→H^0(R,L(?)K).Here R is a compact Riemann surface,L a line bundle on R and K is the canonical line bundle.
关键词：compact Riemann surfaces line bundles 14E20 14F24 
Line bundles on non-primary Hopf manifolds被引量：4
《Science China Mathematics》2004年第4期538-551,共14页LIU Weiming & ZHOU XiangyuInstitute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China Department of Mathematics, Zhejiang University, Hangzhou 310028, China 
Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady...
关键词：HOPF surface  cohomology  LINE bundle  sections. 
Vibrational excitation differential cross sections of low-energy electron scattering from N_2 molecule被引量：2
《Science China Mathematics》1999年第9期1003-1008,共6页孙卫国 Michael A.Morrison 
Project supported by the National Natural Science Foundation of China (Grant No. 19674038);the Science Foundation of Chinese Education Ministry.
The vibrational excitation differential cross sections (DCS) of low-energy electron-N2 scattering are studied using vibrational close-coupling (VCC) scattering method and quantum scattering potentials which include st...
关键词：molecular SCATTERING VIBRATIONAL EXCITATION cross sections. 
Differential cross sections and oscillator strengths in electron energy loss spectrum of b^1П_u electronic state of N_2被引量：1
《Science China Mathematics》1995年第3期368-375,共8页徐克尊 钟志萍 武淑兰 凤任飞 S.Ohtani T.Takayanagi A.Kimota 
Project partially supported by the Ministry of Education,Science and Culture of Japan and the National Natural Science Foundation of China.
The energy loss spectrum of the molecular nitrogen in the energy region 12 -14 eV has been measured at 300 eV impact energy and in the range of scattering angles of 2.75℃- 10.25℃. The differential cross sections and...
关键词：optical OSCILLATOR STRENGTH differential CROSS SECTIONS generalized OSCILLATOR STRENGTH Frank-Condon factor. 
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