An application of the Riemann-Roch theorem

被引：0

作者：

ShiKun Wang

HuiPing Zhang

机构：

[1] Chinese Academy of Sciences,KLMM and IAM, AMSS

[2] Renmin University of China,School of Information

来源：

Science in China Series A: Mathematics | 2008年 / 51卷

关键词：

Riemann-Roch theorem; λ-differential; annulus domain; Cauchy integral formula; 14C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Applying the Riemann-Roch theorem, we calculate the dimension of a kind of meromorphic λ-differentials’ space on compact Riemann surfaces. And we also construct a basis of the λ-differentials’ space. As the main result, the Cauchy type of integral formula on compact Riemann surfaces is established.

引用

页码：765 / 772

页数：7

共 50 条

[41] AN ARITHMETIC RIEMANN-ROCH THEOREM FOR POINTED STABLE CURVES
Freixas i Montplet, Gerard
[J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2009, 42 (02): : 335 - 369
[42] THE RIEMANN-ROCH THEOREM FOR GENERAL ELLIPTIC-OPERATORS
GROMOV, M
SHUBIN, MA
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (05): : 363 - 367
[43] Central extensions and the Riemann-Roch theorem on algebraic surfaces
Osipov, Denis V.
[J]. SBORNIK MATHEMATICS, 2022, 213 (05) : 671 - 693
[44] The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
Markarian, Nikita
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 79 : 129 - 143
[45] Frobenius Quantales, Serre Quantales and the Riemann-Roch Theorem
Rump, Wolfgang
[J]. STUDIA LOGICA, 2022, 110 (02) : 405 - 427
[46] An arithmetic Riemann-Roch theorem for singular arithmetic surfaces
Aitken, W
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 120 (573) : R7 - &
[47] Local Riemann-Roch theorem for almost Hermitian manifolds
Hongyu Wang
Peng Zhu
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2010, 41 : 583 - 605
[48] Local Riemann-Roch theorem for almost Hermitian manifolds
Wang, Hongyu
Zhu, Peng
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2010, 41 (04): : 583 - 605
[49] THE SINGULAR RIEMANN-ROCH THEOREM FOR D-MODULES
ANGENIOL, B
LEJEUNEJALABERT, M
[J]. ASTERISQUE, 1985, (130) : 130 - 160
[50] ON A GENERALIZATION OF BEHAVIOR SPACES AND THE RIEMANN-ROCH THEOREM ON OPEN RIEMANN SURFACES
BASKAN, T
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1981, 21 (02): : 319 - 329

← 1 2 3 4 5 →