Seminar Event Detail

Student Algebraic Geometry

Date:  Friday, December 10, 2021
Location:  2866 East Hall (3:00 PM to 4:00 PM)

Title:  Cox rings and applications to Mukai's counterexample of Hilbert's 14th problem

Abstract:   I will briefly describe the Cox ring of a projective variety, which is an important feature of its birational geometry. Afterwards, I sketch the a counterexample for Hilbert's 14th problem constructed by Shigeru Mukai in 2003 as an application of Cox rings, by showing that under some conditions the Cox ring of a blowup of projective space at some number of points will not have a finitely generated Cox ring.


Speaker:  Saket Shah
Institution:  UM

Event Organizer:     


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