Corpus ID: 119691613

Canonical surfaces in P^4 and Gorenstein algebras in codimension 2

@inproceedings{Bohning2004CanonicalSI,
  title={Canonical surfaces in P^4 and Gorenstein algebras in codimension 2},
  author={Christian Bohning},
  year={2004}
}
  • Christian Bohning
  • Published 2004
  • Mathematics
  • 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… CONTINUE READING