ASYMPTOTICS OF TORUS EQUIVARIANT SZEGO KERNEL ON A COMPACT CR MANIFOLD

被引：3

作者：

Shen, Wei-Chuan ^{[1
]}

机构：

[1] Acad Sinica, Inst Math, 6F,Astron Math Bldg 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2019年 / 14卷 / 03期

关键词：

Equivariant Szego kernel asymptotics; Analysis on CR manifolds;

D O I：

10.21915/BIMAS.2019303

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a compact CR manifold (X, T-1,T-0 X) of dimension 2n + 1, n >= 2, admitting a S-1 x T-d action, if the lattice point (-p1, . . . ,-p(d))( )is an element of Z(d) is a regular value of the associate CR moment map mu, then we establish the asymptotic expansion of the torus equivariant Szego kernel Pi(m,mp1), . . . ,((0))(mpd) (x, y) as m -> +infinity under certain assumptions of the positivity of Levi form and the torus action on Y:= mu(-1)(-p(1), . . . , -p(d)).

引用

页码：331 / 383

页数：53

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