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Minimal model program for projective morphisms between complex analytic spaces
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We discuss the minimal model program for projective morphisms of complex analytic spaces. Roughly speaking, we show that the results obtained by Birkar--Cascini--Hacon--M\textsuperscript{c}Kernan hold true for projective morphisms between complex analytic spaces. We also treat some related topics.
Forward citations
Cited by 3 Pith papers
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The paper proves finiteness of relative log pluricanonical representations for complex analytic spaces and reduces the abundance conjecture for analytic families to the classical abundance conjecture for projective varieties.
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Notes on rational chain connectedness
A complex-analytic analogue of Hacon–McKernan rational chain connectedness is proved using the minimal model program, showing resolution fibers of analytic klt singularities are rationally chain connected.
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