An Excursion from Enumerative Geometry to Solving Systems of Polynomial Equations
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An Excursion from Enumerative Geometry to Solving Systems of Polynomial Equations with Macaulay
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been hopeless to find explicit solutions to such systems, and mathematics has instead developed deep and powerful theories about the solutions to polynomial equations. Enumerative Geometry is concerned with counting the number of solutions when the polynomials come from a ...
متن کاملFrom Enumerative Geometry to Solving Systems of Polynomial Equations
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been hopeless to find explicit solutions to such systems, and mathematics has instead developed deep and powerful theories about the solutions to polynomial equations. Enumerative Geometry is concerned with counting the number of solutions when the polynomials come from a ...
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