Seshadri metric

The Seshadri metric is a way to measure distances within a complex geometric space, specifically in the context of algebraic geometry. It uses the concept of Seshadri constants, which quantify how tightly a line or divisor (a mathematical object representing certain geometric features) is embedded in the space. Essentially, the metric provides a way to understand how "curved" or "flexible" the space is around a point, based on properties of these divisors. It connects the local behavior of algebraic objects to the global geometry, offering insight into how the space's structure influences distances and local complexities.