SIMULTANEOUS GOOD RESOLUTIONS OF DEFORMATIONS OF GORENSTEIN SURFACE SINGULARITIES
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Let π: X → T be a small deformation of a normal Gorenstein surface singularity X0 over the complex number field [Formula: see text]. We assume that X0 is not log-canonical. Then we prove that if the invariant -Pt · Pt of Xt is constant, then π admits a simultaneous resolution f: M → X such that each ft: Mt → Xt is a smallest resolution among all resolutions of Xt whose exceptional sets are divisors having only normal crossings.
1998 ◽
Vol 41
(3)
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pp. 267-278
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1999 ◽
Vol 1999
(509)
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pp. 21-34
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1986 ◽
Vol 104
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pp. 149-161
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2008 ◽
Vol 191
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pp. 149-180
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1959 ◽
Vol 13
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pp. 29
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2014 ◽
Vol 49
(1)
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pp. 79-94
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