![Algebraic varieties / Vector bundles / Birational geometry / Projective geometry / Fano variety / Minimal model program / Ample line bundle / Canonical bundle / Cubic threefold / Algebraic geometry / Geometry / Abstract algebra Algebraic varieties / Vector bundles / Birational geometry / Projective geometry / Fano variety / Minimal model program / Ample line bundle / Canonical bundle / Cubic threefold / Algebraic geometry / Geometry / Abstract algebra](https://www.pdfsearch.io/img/32366e267baed2aea9c46d9d49614213.jpg)
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Currency pence / / Event Person Communication and Meetings / / Facility Sciences COLUMBIA UNIVERSITY / / Organization COLUMBIA UNIVERSITY / Graduate School / / Person Johan de Jong / Jason Starr / Yifeng Liu / Jian Wang / Robert Friedman / Johan Aise de Jong / Show-Wu Zhang / Matt DeLand / / Position author / minimal model / Acknowledgments The author / advisor / /
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