Skip to content
ontologydriven
Sign out

Dictionary

Words, grammatical forms and meanings linked to the ontology.

semiorthogonal en · ADJ

Etymology

From semi- + orthogonal.

Meanings

  1. (not-comparable) Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
    • 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:
  2. (not-comparable, qualifier:matrix algebra) Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix).
  3. (not-comparable) Orthogonal to the corresponding approximation space.