Fall 2015 Seminar Errata

Lecture 1, Jordan Tousignant's notes - "The real plane is the affine scheme \(\mathbb{Z}[x,y]\)" is not correct. The affine scheme corresponding to the commutative ring \(\mathbb{Z}[x,y]\) is called simply 'the plane'. Its 'real points' are defined to be the homomorphisms from this ring to \(\mathbb{R}\); there is one for each point in \(\mathbb{R}^2\), since the generators \(x\) and \(y\) can be sent to arbitrary real numbers.

Lecture 7, Jordan Tousignant's notes - The moduli space of triangles is not \([0,\infty)^3\), but only the subset consisting of triples obeying the triangle inequality.
The Riemann sphere is \(\mathbb{C} \cup \{\infty\}\), not \(\mathbb{C} \cup \{0\}\).