Examples of Mori dream spaces with Picard number two
Atsushi Ito
TL;DR
This paper provides a sufficient condition for projective varieties with Picard number two to be Mori dream spaces and presents examples satisfying this condition.
Contribution
It introduces a new criterion for identifying Mori dream spaces among varieties with Picard number two and supplies explicit examples.
Findings
Established a sufficient condition for Mori dream spaces with Picard number two
Constructed explicit examples of such Mori dream spaces
Enhanced understanding of the structure of Mori dream spaces
Abstract
In this note, we give a sufficient condition such that a projective variety with Picard number two is a Mori dream space. Using this condition, we obtain examples of Mori dream spaces with Picard number two.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Polynomial and algebraic computation