Algebraic and Analytic Compactifications of Moduli Spaces

Patricio Gallardo, Matt Kerr
2022 Notices of the American Mathematical Society  
The basic objects of algebraic geometry, such as subvarieties of a projective space, are defined by polynomial equations. The seemingly innocuous observation that one can vary the coefficients of these equations leads at once to unexpectedly deep questions: • When are objects with distinct coefficients equivalent? • What types of geometric objects appear if those coefficients move "towards infinity"?
doi:10.1090/noti2541 fatcat:enozzgjsiregnkjoi3pdtr4kkq