Seshadri Constants

Seshadri constants are a way to measure how "positively curved" or "ample" a geometric shape called a line bundle is near a particular point on a complex algebraic variety. They quantify the local positivity, indicating how well the line bundle can be used for embedding or separation of points and directions around that point. Higher Seshadri constants suggest stronger local positivity, making the geometry more "ample," while smaller values indicate weaker positivity. Essentially, they help mathematicians understand how line bundles behave locally, influencing the broader geometry and embedding properties of the variety.