Effective Localization of Polynomial Ideal

par M. Yuki Ishihara (Rikkyo University)

jeudi 19 sept. 2019, 10:30 → 11:00 Europe/Paris

Salle XR203 (Bâtiment XLIM)

Localization of polynomial ideal is well-known as a basic tool in Commutative Algebra and Algebraic Geometry. However, its computation based on Gröbner Basis is tends to be much time-consuming. We introduce an effective localization method by using "Double Ideal Quotient" and its variants. Also, we see the efficiency of our algorithm, by comparing with another method from primary decomposition.