INVARIANTS OF THE SMOOTH STRUCTURE OF AN ALGEBRAIC SURFACE ARISING FROM THE DIRAC OPERATOR

被引：13

作者：

PIDSTRIGACH, VY ^{[1
]}

TYURIN, AN ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,STEKLOV MATH INST,ALGEBRA SECT,MOSCOW 117966,RUSSIA

来源：

RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS | 1993年 / 40卷 / 02期

关键词：

D O I：

10.1070/IM1993v040n02ABEH002167

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct invariants of the smooth structure of an algebraic surface in terms of coupled Dirac operators. The invariants allow us to distinguish between del Pezzo surfaces and fake del Pezzo surfaces by their smooth structure.

引用

页码：267 / 351

页数：85

共 50 条

[1] Algebraic invariants arising from the chromatic polynomials of theta graphs
Delbourgo, Daniel
Morgan, Kerri
AUSTRALASIAN JOURNAL OF COMBINATORICS, 2014, 59 : 293 - 310
[2] Modules of solutions of the Helmholtz equation arising from eigenfunctions of the Dirac operator
Marmolejo-Olea, E
Pérez-Esteva, S
Shapiro, M
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2005, 12 (02) : 175 - 192
[3] STRUCTURE OF DIRAC MATRICES AND INVARIANTS FOR NONLINEAR DIRAC EQUATIONS
Ozawa, Tohru
Yamauchi, Kazuyuki
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (9-10) : 971 - 982
[4] A GENERALIZED SCHWARZ INEQUALITY AND ALGEBRAIC INVARIANTS FOR OPERATOR ALGEBRAS
KADISON, RV
ANNALS OF MATHEMATICS, 1952, 56 (03) : 494 - 503
[5] A GENERALIZED SCHWARZ INEQUALITY AND ALGEBRAIC INVARIANTS FOR OPERATOR ALGEBRAS
KADISON, RV
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (02) : 181 - 182
[6] INVARIANTS OF FORMAL PSEUDODIFFERENTIAL OPERATOR ALGEBRAS AND ALGEBRAIC MODULAR FORMS
Dumas, Francois
Martin, Francois
REVISTA DE LA UNION MATEMATICA ARGENTINA, 2023, 65 (01): : 1 - 31
[7] The Dirac operator under collapse to a smooth limit space
Saskia Roos
Annals of Global Analysis and Geometry, 2020, 57 : 121 - 151
[8] The Dirac operator under collapse to a smooth limit space
Roos, Saskia
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2020, 57 (01) : 121 - 151
[9] Complex Dirac Structures: Invariants and Local Structure
Dan Aguero
Roberto Rubio
Communications in Mathematical Physics, 2022, 396 : 623 - 646
[10] Complex Dirac Structures: Invariants and Local Structure
Aguero, Dan
Rubio, Roberto
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 396 (02) : 623 - 646

← 1 2 3 4 5 →