Rigid isotopy classification of real quadric line complexes and associated Kummer surfaces

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• 作者：1. Yaroslavl State University ; Yaroslavl ; Russia
• 关键词：quadric line complex – ; Kummer surface – ; rigid isotopy class – ; quadric – ; biquadric – ; Grassmann variety – ; Klein quadric – ; Pl眉cker coordinates
• 刊名：Mathematical Notes
• 出版年：2011
• 出版时间：June 2011
• 年：2011
• 卷：89
• 期：5-6
• 页码：661-671
• 全文大小：600.7 KB
• 参考文献：1. M. Reid, The Complete Intersection of Two or More Quadrics, Ph. D. Thesis (Trinity College, Cambridge, 1972), http://www.warwick.ac.uk/~masda/3folds/qu.pdf.
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  10. V. A. Krasnov, “On real quadric line complexes,” Izv. Ross. Akad. Nauk Ser. Mat. 74(6), 157–182 (2010) [Russian Acad. Sci. Izv. Math. 74 (6), 1255–1276 (2010)].
• 作者单位：http://www.springerlink.com/content/h5655w52304631x2/
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876

文摘

The paper deals with rigid isotopy classes of three-dimensional real quadric line complexes and associated Kummer surfaces. We prove that there exist twelve rigid isotopy classes of real quadric line complexes and seven rigid isotopy classes of associated Kummer surfaces. Characteristics determining these rigid isotopy classes are given.