Computing Local Intersection Multiplicity of Plane Curves via Max-order Basis
Jana Chalmovianská and Pavel Chalmovianský – GJM, Volume 7, Issue 1 (2022), 1-9.
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- septembre 9, 2022
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We give a new proof that the intersection multiplicity of two plane curves defined by the well-known axioms of Fulton is equivalent to the intersection multiplicity computed using blowup technique. For proving the equivalence, we introduce a novel type of ideal basis called max-order basis of an ideal. Several examples are computed for illustration using the implemented algorithm over rational numbers via blowup.
Milestones:
Received: February 09, 2022
Accepted: April 21, 2022
Published online: September 05, 2022
Authors:
Jana Chalmovianska and Pavel ChalmovianskyFaculty of Mathematics,
Physics and Computer Science,
Comenius University, Bratislava, Slovakia