On the geography of Gorenstein minimal 3-folds of general type
| dc.creator | Chen, Meng | |
| dc.creator | Hacon, Christopher D. | |
| dc.date | 2006-02-25 | |
| dc.date.accessioned | 2026-07-07T07:03:46Z | |
| dc.date.available | 2026-07-07T07:03:46Z | |
| dc.description | Let $X$ be a minimal projective Gorenstein 3-fold of general type. We give two applications of an inequality between $χ(ω_X)$ and $p_g(X)$: 1) Assume that the canonical map $Φ_{|K_X|}$ is of fiber type. Let $F$ be a smooth model of a generic irreducible component in the general fiber of $Φ_{|K_X|}$. Then the birational invariants of $F$ are bounded from above. 2) If $X$ is nonsingular, then $c_1^3\leq {1/27} c_1c_2+{10/3}$ where $c_1$, $c_2$ are Chern invariants of $X$. | |
| dc.description | To appear in Asian J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0602567 | |
| dc.identifier | http://arxiv.org/abs/math/0602567 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109103 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20;14E35 | |
| dc.title | On the geography of Gorenstein minimal 3-folds of general type | |
| dc.type | text |