Resolution and alteration with ample exceptional divisor

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In this note, we construct resolutions or regular alterations admitting an ample exceptional divisor, assuming the existence of projective resolutions or regular alterations. In particular, this implies the existence of such resolutions for three-dimensional schemes.

Original languageEnglish (US)
JournalScience China Mathematics
StateAccepted/In press - 2024

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • 14B05
  • 14E05
  • 14E15
  • alteration
  • ample exceptional divisor
  • resolution


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