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Intersection Theory on the Hilbert Scheme of Points in the Projective Plane

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posted on 01.11.2017, 00:00 by Alexander Stathis
I provide an explicit algorithm to compute intersection numbers between complementary codimension elements of a specific basis for the Chow ring. I also provide an explicit algorithm to compute the class of the intersection of any element of this basis with the divisor of schemes meeting a fixed general line.

History

Advisor

Coskun, Izzet

Chair

Coskun, Izzet

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Paun, Mihai Riedl, Eric de Fernex, Tommaso Tucker, Kevin

Submitted date

August 2017

Issue date

23/05/2017

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