Year: 2025
Type: preprint
Abstract: This paper has three main goals : (1) To give an axiomatic formulation of the construction of "reduced Čech complexes", complexes using fewer than the usual number of intersections but still computing cohomology of an appropriate class of sheaves; (2) To give a construction of such a reduced Čech complex for every semi-proper toric variety $X$, where every open used in the complex is torus stable, and such that the cell complex governing the reduced Čech complex has dimension the cohomological dimension of $X$; and (3) to give an algorithm to compute the higher direct images of line bundles relative to a toric fibration between smooth proper toric varieties.
Source: arXiv (Cornell University)
Authors: Roth, Mike, Zotine, Sasha
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6929373137
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