Del Pezzo surfaces with irregularity and intersection numbers on quotients in geometric invariant theory
This thesis comprises two parts covering distinct topics in algebraic geometry. In Part I, we construct the first examples of regular del Pezzo surfaces for which the first cohomology group of the structure sheaf is nonzero. Such surfaces, which only exist over imperfect fields, arise as generic fib...
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| Language: | English |
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2012
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| Online Access: | https://doi.org/10.7916/D82B9568 |