Triple-point defective surfaces
نویسندگان
چکیده
منابع مشابه
Triple Point Topological Metals
Ziming Zhu, Georg W. Winkler, QuanSheng Wu, Ju Li, and Alexey A. Soluyanov Frontier Institute of Science and Technology, and State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China Department of Nuclear Science and Engineering and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambrid...
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In [ChM07] we studied triple-point defective very ample linear systems on regular surfaces, and we showed that they can only exist if the surface is ruled. In the present paper we show that we can drop the regularity assumption, and we classify the triplepoint defective very ample linear systems on ruled surfaces. Let S be a smooth projective surface, K = KS the canonical class and L a divisor ...
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In this paper we study the linear series |L − 3p| of hyperplane sections with a triple point p of a surface S embedded via a very ample line bundle L for a general point p. If this linear series does not have the expected dimension we call (S, L) triplepoint defective. We show that on a triple-point defective regular surface through a general point every hyperplane section has either a triple c...
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The triple point number of a knotted surface in 4–space is the minimal number of triple points for all generic projections into 3–space. We give lower bounds of triple point numbers by using cocycle invariants of knotted surfaces. As an application, we give an infinite family of surface–knots of triple point number six. We also study the triple point numbers restricted to generic projections wi...
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It is known that if G is a graph that can be drawn without edges crossing in a surface with Euler characteristic ǫ, and k and d are positive integers such that k > 3 and d is sufficiently large in terms of k and ǫ, then G is (k, d)∗-colorable; that is, the vertices of G can be colored with k colors so that each vertex has at most d neighbors with the same color as itself. In this paper, the kno...
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ژورنال
عنوان ژورنال: advg
سال: 2010
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom.2010.030