Two-dimensional Irreducible Algebraic Semigroups
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We study two-dimensional irreducible projective smooth algebraic semigroups. Minimal surface semigroups with Kodaira dimension at most one are partially classified. We also calculate the local dimension of the moduli scheme parameterizing all algebraic semigroup laws on a fixed minimal surface.
KeywordsAlgebraic semigroup algebraic surface
MR(2010) Subject Classification14J25 14J27 14L30
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The author is very grateful to Professor Michel Brion and Professor Baohua Fu for their supports, encouragements and stimulating discussions over the last few years. I want to thank the referee for careful reading and many useful suggestions. Most part of this article is written during a stay at Institut de Fourier.
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