### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Category Archives: Toric Geometry

## The Stanley-Reisner Ring

Today, we’re going to do something completely different, but which most of my peers seem not to have seen, but is a very cool application of algebraic geometry.

## Toric Geometry II – Toric Varieties

Last time we did a bunch of stuff with fans and polytopes and made a lot of definitions. This time, we get to use that stuff to do some algebraic geometry. First up, we’ll need to define some lattice in … Continue reading

Posted in Algebraic Geometry, Toric Geometry
1 Comment

## Toric Geometry I – Definitions

Ok, so I’m going to mostly be posting on toric geometry for the near future, and in particular, working out what we need to do some mirror symmetry with it. I’ll be following various things by David Cox, so check … Continue reading

Posted in Algebraic Geometry, Toric Geometry
3 Comments