The Beilinson complex and canonical rings of irregular surfaces
| dc.creator | Canonaco, Alberto | |
| dc.date | 2006-10-24 | |
| dc.date.accessioned | 2026-07-07T07:29:23Z | |
| dc.date.available | 2026-07-07T07:29:23Z | |
| dc.description | In the first part of the paper Beilinson's theorem on the bounded derived category of coherent sheaves on P^n is extended to weighted projective spaces in a rather explicit form. To this purpose the usual category of coherent sheaves is replaced by a suitable category of graded sheaves, and a more general theory of graded schemes is developed. In the second part of the paper the weighted version of Beilinson's theorem is applied to prove a structure theorem for certain canonical projections of surfaces of general type into a 3-dimensional weighted projective space. This result (which generalizes to the weighted case a theorem by Catanese and Schreyer) is mainly interesting for irregular surfaces, and we illustrate it by studying a family of surfaces with p_g=q=2 and K^2=4, whose canonical rings are explicitly computed along the way. | |
| dc.description | 103 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610731 | |
| dc.identifier | http://arxiv.org/abs/math/0610731 | |
| dc.identifier | Mem. Amer. Math. Soc. 183 (2006), no. 862 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118087 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A20, 14F05, 14J29, 13A02, 18E30, 14K05 | |
| dc.title | The Beilinson complex and canonical rings of irregular surfaces | |
| dc.type | text |