Frequently used to study the global sections of semimodule sheaves on tropical varieties. 3. Semicontinuity and Stability
A key feature is the adaptation of and Tor functors. Since you cannot always "subtract" to find boundaries, homological algebra here often uses: Homological Algebra of Semimodules and Semicont...
Unlike traditional modules over a ring, are defined over semirings (like the Frequently used to study the global sections of
This framework provides the "linear algebra" for tropical varieties. Just as homological algebra helps classify manifolds, semimodule homology helps classify and understand the intersections of tropical hypersurfaces. Homological Algebra of Semimodules and Semicont...