Geometry & Topology
- Geom. Topol.
- Volume 18, Number 3 (2014), 1343-1395.
Skeleta of affine hypersurfaces
A smooth affine hypersurface of complex dimension is homotopy equivalent to an –dimensional cell complex. Given a defining polynomial for as well as a regular triangulation of its Newton polytope , we provide a purely combinatorial construction of a compact topological space as a union of components of real dimension , and prove that embeds into as a deformation retract. In particular, is homotopy equivalent to .
Geom. Topol., Volume 18, Number 3 (2014), 1343-1395.
Received: 11 July 2013
Revised: 19 December 2013
Accepted: 17 January 2014
First available in Project Euclid: 20 December 2017
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Ruddat, Helge; Sibilla, Nicolò; Treumann, David; Zaslow, Eric. Skeleta of affine hypersurfaces. Geom. Topol. 18 (2014), no. 3, 1343--1395. doi:10.2140/gt.2014.18.1343. https://projecteuclid.org/euclid.gt/1513732797