تقرير
Monodromy and the Lefschetz fixed point formula
| العنوان: | Monodromy and the Lefschetz fixed point formula |
|---|---|
| المؤلفون: | Hrushovski, E., Loeser, F. |
| المصدر: | Ann. Sci. \'Ecole Norm. Sup. 48, 313-349 (2015) |
| سنة النشر: | 2011 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Logic, 03C98, 14B05, 14J17, 32S25, 32S55 |
| الوصف: | We give a new proof - not using resolution of singularities - of a formula of Denef and the second author expressing the Lefschetz number of iterates of the monodromy of a function on a smooth complex algebraic variety in terms of the Euler characteristic of a space of truncated arcs. Our proof uses l-adic cohomology of non-archimedean spaces, motivic integration and the Lefschetz fixed point formula for finite order automorphisms. We also consider a generalization due to Nicaise and Sebag and at the end of the paper we discuss connections with the motivic Serre invariant and the motivic Milnor fiber. Comment: 38 pages; correction of misprints and addition of details; in section 8 statements have been slightly modified |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1111.1954 |
| رقم الأكسشن: | edsarx.1111.1954 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |