A Construction of the Rational Function Sheaves on Elliptic Curves 被引量：1

A Construction of the Rational Function Sheaves on Elliptic Curves

导出

摘要 The authors introduce an effective method to construct the rational functionsheaf K on an elliptic curve E, and further study the relationship between K and anycoherent sheaf on E. Finally, it is shown that the category of all coherent sheaves of finitelength on E is completely characterized by K. Abstract The authors introduce an effective method to construct the rational function sheaf κ on an elliptic curve E, and further study the relationship between κ and any coherent sheaf on E. Finally, it is shown that the category of all coherent sheaves of finite length on E is completely characterized by κ.

作者 Jianmin CHEN Yanan LIN

机构地区 School of Mathematical Sciences

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第6期585-596,共12页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China (No. 10671161) the DoctoralProgram Foundation of the Ministry of Education of China (No. 20060384002).

关键词椭圆形曲线凝聚层有理函数代数闭域 Elliptic curve, Coherent sheaf, Rational function sheaf

分类号 O18 [理学—基础数学]

引文网络
相关文献

参考文献15

1Bodnarchuk, L., Burban, I., Drozd, Y. and Greuel, G., Vector bundles and torsion free sheaves on degenerations of elliptic curves, Global Aspects of Complex Geometry, Springer, Berlin, 2006, 83 128.
2Bruning, K. and Burban, I, Coherent sheaves on an elliptic curve, Interactions between homotopy theory and algebra, Contemp. Math, 436, 2007, 297-436.
3Burban, I. and Kreussler, B., Derived categories of irreducible projective curves of arithmetic genus one, Compos. Math., 142(5), 2006, 1231-1262.
4Chen, J. and Lin, Y., Generic sheaves on elliptic curves, J. Algebra, 319(10), 2008, 4360-4371.
5Crawley-Boevey, W., Locally finitely presented additive categories, Comm. Algebra, 22, 1994, 1641-1674.
6Geigle, W. and Lenzing, H., A class of weighted projective curves arising in representation theory of finite dimensional algebras, Singularities, Representations of Algebras, and Vector Bundles, Lecture Notes in Math., 1273, Springer-Verlag, Berlin/New York, 1987, 265-297.
7Hartshorne, R., Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, New York, 1977.
8Lenzing, H., Generic modules over tubular algebras, Advance in Algebra and Model Theory, Gordon- Breach, London, 1997, 375-385.
9Lenzing, H., Hereditary categories, Handbook of Tilting Theory, London Mathematical Society Lecture Note Series, 332, 2007, 105 146.
10Lenzing, H., Hereditary categories, Handbook of Tilting Theory, London Mathematical Society Lecture Note Series, 332, 2007, 105 146.

引证文献1

1Jian Min CHEN,Jin Jing CHEN,Ya Nan LIN.Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves[J].Acta Mathematica Sinica,English Series,2017,33(5):705-724.

1Sergio ESTRADA,Alina IACOB.Gorenstein injective sheaves[J].Frontiers of Mathematics in China,2017,12(1):87-95.
2SHI KaiQuan1,2 & ZHAO JianLi3 1 School of Mathematics and Computer Sciences, Longyan University, Longyan 364000, China,2 School of Mathematics and System Sciences, Shandong University, Jinan 250100, China,3 School of Mathematics Science, Liaocheng University, Liaocheng 252059, China.Function S-rough sets and security-authentication of hiding law[J].Science in China(Series F),2008,51(7):924-935. 被引量：69
3陈金晶,林玉娜.(p,q)型权投射线的凝聚层范畴上的倾斜丛[J].厦门大学学报（自然科学版）,2016,55(4):547-549.
4王学理,裴定一.Elliptic curves and positive definite ternary forms[J].Science China Mathematics,2001,44(11):1426-1432.
5Jian Min CHEN,Jin Jing CHEN,Ya Nan LIN.Prüfer Sheaves and Generic Sheaves Over the Weighted Projective Lines and Elliptic Curves[J].Acta Mathematica Sinica,English Series,2017,33(5):705-724.
6Mir Mehedi Faruk,Md.Sazzad Hossain,Md.Muktadir Rahman.quantum gases power law potential grand potential condensation hierarchy[J].Communications in Theoretical Physics,2016,65(2):169-176.
7CHOI Jinwon,CHUNG Kiryong.The geometry of the moduli space of one-dimensional sheaves[J].Science China Mathematics,2015,58(3):487-500.
8Zhu Laiyi People’s Universityy of China, China.THE ASYMPTOTIC FORMULA OF THE ORTHOGONAL RATIONAL FUNCTION ON THE UNIT CIRCLE[J].Analysis in Theory and Applications,1993,9(2):24-36.
9WANG ZhangJie.Congruent elliptic curves with non-trivial Shafarevich-Tate groups： Distribution part[J].Science China Mathematics,2017,60(4):593-612. 被引量：1
10YANG Fei ZHOU Jian.Local Gromov-Witten invariants and tautological sheaves on Hilbert schemes[J].Science China Mathematics,2011,54(1):47-54.

Chinese Annals of Mathematics,Series B

2008年第6期

浏览历史

内容加载中请稍等...

A Construction of the Rational Function Sheaves on Elliptic Curves 被引量：1

参考文献15

引证文献1

相关作者

相关机构

相关主题

浏览历史