The space of complete quotients

Yi Hu, Yijun Shao

Research output: Contribution to journalArticlepeer-review


We introduce complete quotients over the projective line and prove that they form smooth projective varieties. The resulting parameter spaces coincide with the varieties constructed in [HLS11] and [Shao11]. Hence they provide modular smooth compactifications with normal crossing boundaries of the spaces of algebraic maps from the projective line to Grassmannian varieties, resolving the singularities of the boundaries of the Quot scheme compactifications.

Original languageEnglish (US)
Pages (from-to)155-192
Number of pages38
JournalPure and Applied Mathematics Quarterly
Issue number1
StatePublished - 2014


  • Complete quotient
  • Quot scheme

ASJC Scopus subject areas

  • General Mathematics


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