Elliptic fibrations are a type of mathematical structure where a smooth projective variety is equipped with a morphism to a base variety, such that the fibers over each point of the base are elliptic curves. These fibrations play a crucial role in connecting different areas of mathematics, particularly in number theory and algebraic geometry, and they are integral to understanding the relationships established by important conjectures like the Taniyama-Shimura conjecture.
congrats on reading the definition of Elliptic Fibrations. now let's actually learn it.