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1
Intro
2
Zariski Cancellation Problem on Affine Spaces
3
ZCP on Polynomial Rings
4
Asanuma Ring (1987)
5
Affine Fibration Problem: Some Theorems
6
Asanuma ring and Segre-Nagata lines
7
Epimorphism Theorem
8
Epimorphism Problem for Hyperplanes
9
Epimorphism Problem: Russell-Sathaye, Kalima
10
An example of Russell-Koras threefolds
11
Derksen invariant
12
An Example of Bhatwadekar-Dutta (1993)
Description:
Explore the Zariski Cancellation Problem and related topics in Affine Algebraic Geometry in this 40-minute lecture by Neena Gupta. Delve into the intricacies of Affine Spaces, Polynomial Rings, and the Asanuma Ring. Examine the Affine Fibration Problem and its theorems, along with the Epimorphism Problem for Hyperplanes. Investigate examples such as the Russell-Koras threefolds and the Bhatwadekar-Dutta case. Gain insights into the Derksen invariant and the Segre-Nagata lines, enhancing your understanding of complex algebraic concepts.

Neena Gupta- The Zariski Cancellation Problem and Related Problems in Affine Algebraic Geometry

International Mathematical Union
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