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Tautological integrals on Hilbert scheme of points I
- Publication Year :
- 2023
-
Abstract
- We develop a new method to study intersection theory of the main component of the Hilbert scheme of points on complex manifolds. The main result is an iterated residue formula for tautological integrals. We formulate a Chern-Segre-type positivity conjecture for these integrals, and we introduce higher dimensional Segre and Chern integrals.<br />Comment: 51 pages. Preliminary version, comments are welcome. Survey parts shared with arXiv:2112.15502
- Subjects :
- Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2303.14807
- Document Type :
- Working Paper