decomposition theorem
C36560
concept
The decomposition theorem is a fundamental result in algebraic geometry and topology stating that, under suitable conditions, the direct image of an intersection complex under a proper map splits as a direct sum of shifted semisimple perverse sheaves.
All labels observed (1)
| Label | Occurrences |
|---|---|
| decomposition theorem canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: decomposition theorem
Generated description
The decomposition theorem is a fundamental result in algebraic geometry and topology stating that, under suitable conditions, the direct image of an intersection complex under a proper map splits as a direct sum of shifted semisimple perverse sheaves.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Schmidt decomposition | — |