Canonical surfaces in P^4 and Gorenstein algebras in codimension 2
| dc.creator | Böhning, Christian | |
| dc.date | 2004-02-23 | |
| dc.date.accessioned | 2026-07-07T05:05:39Z | |
| dc.date.available | 2026-07-07T05:05:39Z | |
| dc.description | In this paper I investigate minimal surfaces of general type with p_g=5, q=0 for which the 1-canonical map is a birational morphism onto a surface in P^4 (so called canonical surfaces in P^4) via a structure theorem for the Hilbert resolutions of the canonical rings of the afore-mentioned surfaces, viewed as Gorenstein algebras of codimension 2 over the homogeneous coordinate ring of P^4. I discuss how the ring structure of such an algebra is encoded in its resolution. Among other things I show how this method can be applied to analyze the moduli space of canonical surfaces with p_g=5, q=0, K^2=11, thus recovering a result previously obtained by D. Rossberg with different techniques. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402369 | |
| dc.identifier | http://arxiv.org/abs/math/0402369 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70246 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14J29 | |
| dc.title | Canonical surfaces in P^4 and Gorenstein algebras in codimension 2 | |
| dc.type | text |