In algebraic geometry, the dualizing sheaf on a proper scheme X of dimension n over a field k is a coherent sheaf ω X {\displaystyle \omega _{X}} together...

In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...

X, the dualizing complex DX is isomorphic to the shift oX[n] of the orientation sheaf. As a result, Verdier duality includes Poincaré duality as a special...

theory can be derived: dualizing complexes pull back via f ! {\displaystyle f^{!}} , the Grothendieck residue symbol, the dualizing sheaf in the Cohen–Macaulay...

to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further group of related concepts...

reflexive sheaf is a coherent sheaf that is isomorphic to its second dual (as a sheaf of modules) via the canonical map. The second dual of a coherent sheaf is...

Dual abelian variety Dual basis Dual (category theory) Dual code Duality (electrical engineering) Duality (optimization) Dualizing module Dualizing sheaf...

{\mathcal {C}}}_{g}/{\overline {\mathcal {M}}}_{g}}} is the relative dualizing sheaf. Note the fiber of ω C ¯ g / M ¯ g {\displaystyle \omega _{{\overline...

Look up sheaf in Wiktionary, the free dictionary. In mathematics, a sheaf (pl.: sheaves) is a tool for systematically tracking data (such as sets, abelian...

lattices Dualizing complex Dualizing sheaf Eckmann–Hilton duality Esakia duality Fenchel's duality theorem Hodge dual Isbell duality Jónsson–Tarski duality Lagrange...