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Algebra Seminar - Groebner basis of ideals of points in P^1 x P^1 ", Jason Palombaro"

From November 27, 2017 15:30 until November 27, 2017 16:30
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Jason Palombaro
McMaster University

Title:   Groebner basis of ideals of points in P^1 x P^1

Abstract:   There are two new results on the Groebner bases of defining ideals of finite sets of points in P^1 x P^1 that will be presented. The first new result is the Universal Groebner basis for an Arithmetically Cohen-Macaulay set of points in P^1 x P^1. Following that, we will look at the Buchberger-Moeller algorithm and see how it can be modified to compute the reduced Groebner basis for the defining ideal of any finite set of points in P^1 x P^1. We end with a short example to show how the new algorithm works.

 

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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca