Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives

Krzysztof Petelczyc; Malgorzata Prazmowska

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Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives

机译：扭曲的Fano空间及其分类，三角形透视系统的线性完成

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摘要

Twisted Fano spaces i.e. linear spaces with the parameters of PG(3, 2) which contain a pencil of Fano subplanes are completely classified and characterized. In particular, it is proved that twisted Fano spaces are exactly all the linear completions of systems of triangle perspectives with point degree 4.

机译：扭曲的Fano空间，即参数为PG（3，2）的线性空间，其中包含一个Fano子平面的铅笔，已被完全分类和表征。特别是，证明了扭曲的Fano空间完全是点数为4的三角形透视系统的所有线性完成。

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来源
《Designs, Codes and Crytography》 |2010年第3期|241-251|共11页
作者
Krzysztof Petelczyc; Malgorzata Prazmowska;
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作者单位

Institute of Mathematics, University of Bialystok, ul.Akademicka 2, 15-246 Bialystok, Poland;

Institute of Mathematics, University of Bialystok, ul.Akademicka 2, 15-246 Bialystok, Poland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
veblen configuration; multi-veblen configuration; system of triangle perspectives; twisted fano space; fano projective plane; partial Steiner triple system;

机译：veblen配置;多边配置;三角形透视系统;扭曲的法诺空间;法诺射影飞机;部分斯坦纳三元系统;

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1. Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives [J] . Krzysztof Petelczyc, Małgorzata Prażmowska Designs, Codes and Cryptography . 2010,第3期

机译：扭曲的Fano空间及其分类，三角形透视系统的线性完成
2. The Order Completion Method for Systems of Nonlinear PDEs: Pseudo-topological Perspectives [J] . Jan Harm van der Walt Acta Applicandae Mathematicae . 2008,第1期

机译：非线性PDEs系统的阶补方法：伪拓扑学观点
3. The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives [J] . van der Walt JH Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2008,第1期

机译：非线性PDE系统的订单完成方法：伪拓扑观点
4. Nonlinear Scale Space Theory in Texture Classification Using Multiple Classifier Systems [C] . Mehrdad J. Gangeh, Amir H. Shabani, Mohamed S. Kamel International conference on image analysis and recognition;ICIAR 2010 . 2010

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5. Control-Parameter-Space Classification for Delay-Independent-Stability of Linear Time-Invariant Time-Delay Systems; Theory and Experiments. [D] . Nia, Payam Mahmoodi. 2014

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6. Biregular classification of Fano 3-folds and Fano manifolds of coindex 3 [O] . Shigeru Mukai 1989

机译：法诺3折和共指数3的法诺流形的双正则分类
7. The order completion method for systems of nonlinear PDEs: Pseudo-topological perspectives [O] . van der Walt, Jan Harm 2007

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8. Linear Systems Approach to Describing and Classifying Fano Resonances (Postprint). [R] . Avrutsky, I., Gibson, R., Sears, J., 2013

机译：用于描述和分类Fano共振的线性系统方法（后印刷）。

Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives

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