The study of algebraic geometry encompasses the investigation ... which captures the transition between analytic and algebraic descriptions of these varieties [1]. Investigations have further ...

ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

To counter this, Virginia Tech mathematicians are leveraging algebraic geometry to target the inefficiencies of data centers. A team of AI researchers and mathematicians affiliated with several ...

Algebraic geometry explores the geometric objects that are sets of solutions to algebraic equations — for example, a circle of radius r can be described by x2+y2=r2.