Abstract
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.
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Acknowledgements
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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1) Note that here the definition of algebraic semigroups is slightly different from [3], we require an algebraic semigroup to be irreducible
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Li, D. Two-dimensional Irreducible Algebraic Semigroups. Acta. Math. Sin.-English Ser. 34, 532–541 (2018). https://doi.org/10.1007/s10114-017-7182-3
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DOI: https://doi.org/10.1007/s10114-017-7182-3