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euler(CoherentSheaf) -- Euler characteristic of coherent sheaf

Synopsis

Usage:
euler F
Function: euler
Inputs:
- F, a coherent sheaf
Outputs:
- an integer, the Euler characteristic of the cohomology of the sheaf

Description

The command returns chi(F) the Euler characteristic of the sheaf F i.e. the alternated sum of the dimensions of its cohomology groups

See also

eulers(CoherentSheaf) -- list the sectional Euler characteristics
genus -- arithmetic genus