Abstract | ||
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We determine the full list of anticanonically embedded quasismooth Fano hypersurfaces in weighted projective 4-spaces. There are 48 infinite series and 4442 sporadic examples. In particular, the Reid-Fletcher list of 95 types of anticanonically embedded quasismooth terminal Fano threefolds in weighted projective di-spaces is complete. We also prove that many of these Fano hypersurfaces admit a Kahler-Einstein metric, and study the nonexistence of tigers on these Fano 3-folds. Finally, we prove that there are only finitely many families of quasismooth Calabi-Yau hypersurfaces in weighted projective spaces of any given dimension. This implies finiteness for various families of general type hypersurfaces. |
Year | DOI | Venue |
---|---|---|
2001 | 10.1080/10586458.2001.10504438 | EXPERIMENTAL MATHEMATICS |
Keywords | Field | DocType |
calabi yau,algebraic geometry,infinite series | Topology,Series (mathematics),Mathematical analysis,Fano plane,Mathematics,Projective space,Projective test | Journal |
Volume | Issue | ISSN |
10.0 | 1.0 | 1058-6458 |
Citations | PageRank | References |
3 | 0.72 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jennifer M Johnson | 1 | 17 | 2.17 |
János Kollár | 2 | 53 | 5.41 |