76:; every Riemann surface comes from an algebraic curve, well defined up to birational equivalence and two birational equivalent curves give the same surface. Therefore, the Riemann surface, or more simply its
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Reichstein, Z.; Youssin, B. (2002), "A birational invariant for algebraic group actions",
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projective complex surface are birational invariants. The Hodge number
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himself: in his thesis, he shows that one can define a
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The first example is given by the grounding work of
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52:. In other words, it depends only on the
83:A more complicated example is given by
24:is a property that is preserved under
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40:is a quantity or object that is
126:Pacific Journal of Mathematics
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110:is not, since the process of
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148:10.2140/pjm.2002.204.223
46:birational equivalence
26:birational equivalence
87:: in the case of an
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22:birational invariant
173:Birational geometry
50:algebraic varieties
18:algebraic geometry
89:algebraic surface
32:Formal definition
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56:of the variety.
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91:, the
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96:h
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