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arXiv · 1312.2824

Bilinkage in codimension $3$ and canonical surfaces of degree $18$ in $\mathbb{P}^5$

Grzegorz Kapustka·Michal Kapustka
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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 $\mathbb{P}^6$.

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BibTeXRIS

Grzegorz Kapustka, Michal Kapustka. 2015-06-14. Bilinkage in codimension $3$ and canonical surfaces of degree $18$ in $\mathbb{P}^5$. https://doi.org/10.2422/2036-2145.201312_001

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