Seshadri constant

The Seshadri constant is a mathematical measure used in algebraic geometry to quantify how "positively curved" or "ample" a line bundle (a type of geometric object) is at a specific point on a surface or higher-dimensional space. It assesses the local their "positivity" by considering how much the line bundle can be "stretched" around that point without losing certain favorable properties. Essentially, a higher Seshadri constant indicates a stronger, more favorable geometric presence near the point, providing insight into the space’s local positivity and the behavior of curves or divisors passing through that point.