PROJECTIVE UNIFORMIZATION AND GRADED LIE-ALGEBRAS ON RIEMANN SURFACES

被引：0

作者：

TEOFILATTO, P ^{[1
]}

机构：

[1] UNIV LONDON KINGS COLL,DEPT MATH,LONDON WC2R 2LS,ENGLAND

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1991年 / 159卷

关键词：

D O I：

10.1007/BF01766305

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

I show that any Reimann surfaces S is endowed with a natural sheaf of graded Lie algebras A which is related to the projective uniformization of S. Moreover the cohomology set H-1(S,A), which turns out to be direct sum of two Eichler cohomology groups, contains all the ingredient to define a super Reimann structure on S and to investigate its space of moduli.

引用

页码：283 / 293

页数：11

共 16 条

[1]

Batchelor M., 1984, Mathematical Aspects of Superspace. Proceedings of the NATO Advanced Research Workshop, P91

[2] GRADED RIEMANN SURFACES [J].

BATCHELOR, M ;

BRYANT, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 114 (02) :243-255

[3] SUPER RIEMANN SURFACES - UNIFORMIZATION AND TEICHMULLER THEORY [J].

CRANE, L ;

RABIN, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 113 (04) :601-623

[4]

EARLE C, MSRI0971986 PREPR

[5]

Forsyth A. R., 1902, THEORY DIFFERENTIAL, VIV

[6]

GAWEDZKI K, 1977, ANN I H POINCARE-AN, V27, P355

[7] HALF-ORDER DIFFERENTIALS ON RIEMANN SURFACES [J].

HAWLEY, NS ;

SCHIFFER, M .

ACTA MATHEMATICA UPPSALA, 1966, 115 (3-4) :199-&

[8]

HORSELEY R, 1978, NUCL PHYS B, P439

[9] ON DEFORMATIONS OF COMPLEX ANALYTIC STRUCTURES .1. [J].

KODAIRA, K ;

SPENCER, DC .

ANNALS OF MATHEMATICS, 1958, 67 (02) :328-401

[10]

Kra I., 1972, MATH LECT NOTE SERIE

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