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Teichmüller curves in the space of two-genus double covers of flat tori
《Science China Mathematics》2020年第3期521-538,共18页Yan Huang Shengjian Wu Yumin Zhong 
supported by National Natural Science Foundation of China (Grant No. 11401167).supported by National Natural Science Foundation of China (Grant No. 11371035).supported by National Natural Science Foundation of China (Grant Nos. 11701039 and 11371035);Research and Innovation Program of Beijing University of Posts and Telecommunications for Youth (Grant No. 2017RC18)
This paper focuses on Teichmüller curves in the space of two-genus double covers of flat tori,identifying all of them, counting them with respect to their triangular areas, formulating the numbers of their cusps, and...
关键词：Veech surfaces Teichm¨uller curves geodesic triangles simple Jenkins-Strebel directions 
Planar graphs with maximum degree 8 and without intersecting chordal 4-cycles are 9-totally colorable被引量：5
《Science China Mathematics》2012年第12期2601-2612,共12页CAI JianSheng WANG GuangHui YAN GuiYing 
supported by Natural Science Foundation of Shandong Province (Grant No. ZR2009AM009);Scientific Research Foundation for the Excellent Middle-Aged and Youth Scientists of Shandong Province (Grant No. BS2012SF016);National Natural Science Foundation of China (Grant Nos.11001055 and 11101243)
The minimum number of colors needed to properly color the vertices and edges of a graph G is called the total chromatic number of G and denoted by χ'' (G). It is shown that if a planar graph G has maximum degree Δ≥...
关键词：total coloring planar graph chordal 4-cycles TRIANGLES 
Compact DG modules and Gorenstein DG algebras被引量：10
《Science China Mathematics》2009年第4期648-676,共29页MAO XueFeng WU QuanShui 
supported by the National Natural Science Foundation of China (Grant No. 10731070);the Doctorate Foundation of Ministry of Education of China (Grant No. 20060246003)
When the base connected cochain DG algebra is cohomologically bounded, it is proved that the difference between the amplitude of a compact DG module and that of the DG algebra is just the projective dimension of that ...
关键词：differential graded algebra Gorenstein DG algebra regular DG algebra Koszul DG algebra compact DG module Auslander-Reiten triangles amplitude projective dimension 16E10 16E45 16G70 
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