Abstract
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 .
Citation
Helge Ruddat. Nicolò Sibilla. David Treumann. Eric Zaslow. "Skeleta of affine hypersurfaces." Geom. Topol. 18 (3) 1343 - 1395, 2014. https://doi.org/10.2140/gt.2014.18.1343
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