Bilinkage in codimension $3$ and canonical surfaces of degree $18$ in $\mathbb{P}^5$
arXiv:1312.2824 · doi:10.2422/2036-2145.201312_001
Abstract
We study the behavior of the bilinkage process in codimension $3$. In particular, we construct a smooth canonically embedded and linearly normal surface of general type of degree $18$ in $\mathbb{P}^5$, this is probably the highest degree such surface may have. Next, we apply our construction to find a geometric description of Tonoli Calabi--Yau threefolds in $\mathbb{P}^6$.
16 pages, Annali della Scuola Normale di Pisa - Classe di Scienze 2015