MOTIVIC INTEGRATION ON TORIC STACKS

被引：3

作者：

Stapledon, A. ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 11期

关键词：

Arc space; Lattice polytope; Motivic integration; Toric stack; DELIGNE-MUMFORD STACKS; EHRHART POLYNOMIALS; MCKAY CORRESPONDENCE; ALGEBRAIC-VARIETIES; CONVEX POLYTOPES; ARC SPACES; ORBIFOLD; COHOMOLOGY;

D O I：

10.1080/00927870902828819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a decomposition of the space of twisted arcs of a toric stack. As a consequence, we give a combinatorial description of the motivic integral associated to a torus-invariant divisor of a toric stack.

引用

页码：3943 / 3965

页数：23

共 34 条

[1] ABRAMOVICH D, 2002, CONT MATH, V310, P1
[2] [Anonymous], 1980, ANN DISCRETE MATH, DOI DOI 10.1016/S0167-5060(08)70717-9
[3] [Anonymous], 1993, Annals of Mathematics Studies, 131. The William H. Roever Lectures in Geometry
[4] BARVINOK A, 2007, IAS PARK CITY MATH S, V13, P19
[5] Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
Batyrev, VV
Dais, DI
[J]. TOPOLOGY, 1996, 35 (04) : 901 - 929
[6] BATYREV VV, J EUR MATH SOC JEMS, V1, P5
[7] The orbifold Chow ring of toric Deligne-Mumford stacks
Borisov, LA
Chen, L
Smith, GG
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 18 (01) : 193 - 215
[8] A new cohomology theory of orbifold
Chen, WM
Ruan, YB
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 248 (01) : 1 - 31
[9] Germs of arcs on singular algebraic varieties and motivic integration
Denef, J
Loeser, F
[J]. INVENTIONES MATHEMATICAE, 1999, 135 (01) : 201 - 232
[10] Motivic integration, quotient singularities and the McKay correspondence
Denef, J
Loeser, F
[J]. COMPOSITIO MATHEMATICA, 2002, 131 (03) : 267 - 290

← 1 2 3 4 →