Surfaces in $G(1,5)$ with one apparent double point

Authors

  • José Carlos Sierra

DOI:

https://doi.org/10.7146/math.scand.a-14952

Abstract

In this work we characterize the smooth surfaces that can be embedded in the Grassmannian of lines $G(1,5)$ with one apparent double point, i.e., such that the general linear projection to $G(1,3)$ produces just one double point. The result is that such a surface must be either a rational scroll of degree $4$ or $5$ or a Del Pezzo surface of degree $6$ or $7$.

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Published

2005-06-01

How to Cite

Sierra, J. C. (2005). Surfaces in $G(1,5)$ with one apparent double point. MATHEMATICA SCANDINAVICA, 96(2), 190–202. https://doi.org/10.7146/math.scand.a-14952

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Section

Articles