Meanings
- not comparablecategory theoryHaving the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
1 more example
For del Pezzo surfaces of degree at least 5, we construct explicit semiorthogonal decompositions by subcategories of modules over semisimple algebras arising as endomorphism algebras of vector bundles and we show how to retrieve information about the index of the surface from Brauer classes and Chern classes associated to these vector bundles..
2015, Asher Auel, Marcello Bernardara, “Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields”, in arXiv - not comparablematrix algebramathematicsEither columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix).
- not comparablenatural sciencesOrthogonal to the corresponding approximation space.
Origin
Cite this entry
semiorthogonal. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/semiorthogonal
“semiorthogonal.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semiorthogonal. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “semiorthogonal,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/semiorthogonal.
Source: semiorthogonal on Wiktionary, CC BY-SA 4.0.