Smooth minimal genera for small negative classes in CP~2 # nCP~2 with n ≤ 9

Bang-He Li; Tian-Jun Li

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Smooth minimal genera for small negative classes in CP~2 # nCP~2 with n ≤ 9

机译：CP〜2＃nCP〜2中n≤9的小负数类的光滑最小属

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摘要

The smooth minimal genera forξ∈ H_2(CP~2 # nCP~2, Z) are determined completely when n ≤ 9 and 0 > ξ~2 > -16. In particular, we find that ξ is represented by an embedded 2-sphere when 0> ξ~2 > -n-7 and n ≤ 9.

机译：当n≤9且0>ξ〜2> -16时，完全确定ξ∈H_2（CP〜2＃nCP〜2，Z）的光滑最小属。特别地，我们发现当0>ξ〜2> -n-7并且n≤9时，ξ由一个嵌入式2球表示。

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来源
《Topology and its applications》 |2003年第1期|p.1-15|共15页
作者
Bang-He Li; Tian-Jun Li;
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作者单位

Academy of Mathematics and Systems Science, Academia Sinica, Beijnig 100080, People's Republic of China;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
minimal genus; negative square;

机译：最小属;负平方;

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1. Representing nonnegative homology classes of CP2#n(CP)over-bar(2) by minimal genus smooth embeddings [J] . Li BH. Transactions of the American Mathematical Society . 2000,第9期

机译：通过最小类光滑嵌入表示CP2＃n（CP）over-bar（2）的非负同源类
2. The minimal genus problem in rational surfaces CP~2#nCP~2 [J] . ZHAO Xuan, GAO Hongzhu, QIU Huaidong Science in China. Series A, Mathematics, physics, astronomy . 2006,第9期

机译：有理曲面CP〜2＃nCP〜2中的最小类问题
3. Minimal genus smooth embeddings in S(2)xS(2) and CP2#n(CP)over-bar(2) with n <= 8 [J] . Li BH., Li TJ. Topology: An International Journal of Mathematics . 1998,第3期

机译：n <= 8的S（2）xS（2）和CP2＃n（CP）over-bar（2）中的最小光滑光滑嵌入
4. An inexact smoothing Newton algorithm for NCP based on a new smoothing approximation function [C] . Chunlei Shang, Zhiyuan Tian, Ling Liu International Conference on Materials Science, Energy Technology and Environmental Engineering . 2017

机译：基于新平滑逼近函数的NCP不精确平滑牛顿算法
5. CP violating effects in W and Z boson pair production at the International Linear Collider in the minimal supersymmetric standard model. [D] . Pahel, Douglas Jude. 2005

机译：在最小超对称标准模型中的国际线性对撞机中，W和Z玻色子对产生CP违反效应。
6. Analysis of a new begomovirus unveils a composite element conserved in the CP gene promoters of several Geminiviridae genera: Clues to comprehend the complex regulation of late genes [O] . Mariana Cantú-Iris, Guillermo Pastor-Palacios, Jorge Armando Mauricio-Castillo, 2012

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7. Smooth minimal genera for small negative classes in CP2#nCP2 with n⩽9 [O] . Li Bang-He, Li Tian-Jun 2003

机译：具有n⩽9的CP2＃nCP2中小的负类的光滑最小属
8. CLASSES OF MINIMAL AND REPRESENTATIVE DOMAINS AND THEIR BERGMAN KERNEL FUNCTION [R] . Michael Maschler 1958

机译：最小和代表域的类及其伯格曼核函数

Smooth minimal genera for small negative classes in CP~2 # nCP~2 with n ≤ 9

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