An introduction to motivic integration
| dc.creator | Craw, Alastair | |
| dc.date | 1999-11-23 | |
| dc.date | 2001-09-27 | |
| dc.date.accessioned | 2026-07-07T05:31:53Z | |
| dc.date.available | 2026-07-07T05:31:53Z | |
| dc.description | By associating a `motivic integral' to every complex projective variety X with at worst canonical, Gorenstein singularities, Kontsevich proved that, when there exists a crepant resolution of singularities Y of X, the Hodge numbers of Y do not depend upon the choice of the resolution. In this article we provide an elementary introduction to the theory of motivic integration, leading to a proof of the result described above. We calculate the motivic integral of several quotient singularities and discuss these calculations in the context of the cohomological McKay correspondence. | |
| dc.description | 32 pages, 1 figure. Stringy E-function redefined and examples given in more detail. Also we present a proof of the cohomological McKay correspondence for a finite Abelian subgroup of SL(n,C) to illustrate the simplicity of Batyrev's approach in this case | |
| dc.identifier | https://arxiv.org/abs/math/9911179 | |
| dc.identifier | http://arxiv.org/abs/math/9911179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79463 | |
| dc.subject | Algebraic Geometry | |
| dc.title | An introduction to motivic integration | |
| dc.type | text |