On the intersection theory of Quot schemes and moduli of bundles with sections

✍ Scribed by Marian, Alina

• Book ID: 118740402
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2007
• Tongue: English
• Weight: 181 KB
• Volume: 2007
• Category: Article
• ISSN: 0075-4102
• DOI: 10.1515/CRELLE.2007.066

✦ Synopsis

We consider a class of tautological top intersection products on the moduli space of stable pairs consisting of vector bundles together with N sections on a smooth complex projective curve C. We show that when N is large, these intersection numbers can equally be computed on the Grothendieck Quot scheme of coherent sheaf quotients of the rank N trivial sheaf on C. The result has applications to the calculation of the intersection theory of the moduli space of semistable bundles on C.