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Thesis Defense - Four Generated Rank 2 Arithmetically Cohen-Macaulay Bundles on General Sextic Surfaces

Wei Deng, Department of Mathematics, Washington University in St. Louis

August 28, 2013 - 1:10 pm to 3:00 pm
Location: Cupples I, Room 6 | Host: Prof. Mohan Kumar

Abstract: Abstract: We compute the dimension of the moduli of four generated indecomposable rank 2 arithmetically Cohen-Macaulay (ACM) bundles on a general sextic surface. Firstly we prove on a general sextic surface, every four generated indecomposable rank 2 ACM bundle belongs to one of fourteen cases. Next we prove for each of the fourteen cases, there exists an indecomposable rank 2 ACM bundle of that case on a general sextic surface. Finally we compute for each case, the dimension of its moduli on a general sextic surface.

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