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C42

A surface in PP_QQ^5 of degree 9 and sectional genus 2 with 5 nodes.

Load this file in Macaulay2 using: load "C42.m2"

If K is a field, the command S42(K) returns a pair (S,f) defined over K, where S is a surface in P^5 of degree 9 and sectional genus 2 with 5 nodes, f:P^5-->Grass(1,4) is a rational map defined by the quadrics through a cubic scroll and which sends the surface S to a smooth surface of degree 9 and sectional genus 2.

For more details on this surface see the paper https://arxiv.org/abs/1909.01263.

A random example of such a surface can also be obtained with the command

surface specialCubicFourfold("C42",K) 

provided by the package SpecialFanoFourfolds.