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On The Fattening Of Lines In P3, Mike Janssen
On The Fattening Of Lines In P3, Mike Janssen
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We follow the lead of Bocci and Chiantini and show how differences in the invariant alpha can be used to classify certain classes of subschemes of P^3. Specifically, we will seek to classify arithmetically Cohen-Macaulay codimension 2 subschemes of P^3 in the manner Bocci and Chiantini classified points in P^2. The first section will seek to motivate our consideration of the invariant alpha by relating it to the Hilbert function and gamma, following the work of Bocci and Chiantini, and Dumnicki, et. al. The second section will contain our results classifying arithmetically Cohen-Macaulay codimension 2 subschemes of P^3. This work …
Taming The Unknown: A History Of Algebra From Antiquity To The Early Twentieth Century, Calvin Jongsma
Taming The Unknown: A History Of Algebra From Antiquity To The Early Twentieth Century, Calvin Jongsma
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Reviewed Title: Katz, Victor J. and Karen Hunger Parshall. Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Princeton, NJ: Princeton University Press, 2014. 485 pages. ISBN 9780691149059