Geometry & Topology
- Geom. Topol.
- Volume 9, Number 2 (2005), 571-697.
Counting rational curves of arbitrary shape in projective spaces
We present an approach to a large class of enumerative problems concerning rational curves in projective spaces. This approach uses analysis to obtain topological information about moduli spaces of stable maps. We demonstrate it by enumerating one-component rational curves with a triple point or a tacnodal point in the three-dimensional projective space and with a cusp in any projective space.
Geom. Topol., Volume 9, Number 2 (2005), 571-697.
Received: 2 August 2003
Revised: 26 February 2005
Accepted: 29 March 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Zinger, Aleksey. Counting rational curves of arbitrary shape in projective spaces. Geom. Topol. 9 (2005), no. 2, 571--697. doi:10.2140/gt.2005.9.571. https://projecteuclid.org/euclid.gt/1513799602