Academic Journal
The structure of the cohomology ring of the filt schemes
| العنوان: | The structure of the cohomology ring of the filt schemes |
|---|---|
| المؤلفون: | Takuro Mochizuki |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/math/0301184v1.pdf. |
| سنة النشر: | 2003 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Quot scheme, cohomology ring, torus action, splitting principle, symmetric function. MSC, 14F45, 57R17 |
| الوصف: | Let C be a smooth projective curve over the complex number field C. We investigate the structure of ⊕ r the cohomology ring of the quot schemes Quot(r, n), i.e., the moduli scheme of the quotient sheaves of O C with length n. We obtain a filtration on H ∗ (Quot(r, n)), whose associated graded ring has a quite simple structure. As a corollary, we obtain a small generator of the ring. We also obtain a precise combinatorial description of H ∗ (Quot(r, n)) itself. For that purpose, we consider the complete filt schemes and we use a ‘splitting principle’. A complete filt scheme has an easy geometric description: a sequence of bundles of projective spaces. Thus the cohomology ring of the complete filt schemes are easily determined. In the cohomology ring of complete filt schemes, we can do some calculations for the cohomology ring of quot schemes. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.6863; http://arxiv.org/pdf/math/0301184v1.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.235.6863 http://arxiv.org/pdf/math/0301184v1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.686F9CED |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |