Abstract
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 language | English (US) |
---|---|
Pages (from-to) | 155-192 |
Number of pages | 38 |
Journal | Pure and Applied Mathematics Quarterly |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - 2014 |
Keywords
- Complete quotient
- Quot scheme
ASJC Scopus subject areas
- General Mathematics