D-equivalence and K-equivalence
| dc.creator | Kawamata, Yujiro | |
| dc.date | 2002-05-27 | |
| dc.date | 2002-09-08 | |
| dc.date.accessioned | 2026-07-07T04:48:45Z | |
| dc.date.available | 2026-07-07T04:48:45Z | |
| dc.description | Let $X$ and $Y$ be smooth projective varieties over $\mathbb{C}$. They are called {\it $D$-equivalent} if their derived categories of bounded complexes of coherent sheaves are equivalent as triangulated categories, while {\it $K$-equivalent} if they are birationally equivalent and the pull-backs of their canonical divisors to a common resolution coincide. We expect that the two equivalences coincide at least for birationally equivalent varieties. We shall provide a partial answer to the above problem in this paper. | |
| dc.description | 25 pages, minor change | |
| dc.identifier | https://arxiv.org/abs/math/0205287 | |
| dc.identifier | http://arxiv.org/abs/math/0205287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64168 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30; 14J10 | |
| dc.title | D-equivalence and K-equivalence | |
| dc.type | text |