In this paper, we study the birational geometry of the Quot schemes of trivial bundles on ℙ1 by constructing small ℚ-factorial modifica- tions of the Quot schemes as suitable moduli spaces. We determine all the models which appear in the minimal model program on the Quot schemes. As a corollary, we show that the Quot schemes are Mori dream spaces and log Fano.
- Mori dream space
- Quot scheme
- Small ℚ-factorial modification
ASJC Scopus subject areas
- Applied Mathematics