Toric varieties modulo reflections

• Main Authors: Crowley, Colin, Gong, Tao, Simpson, Connor
• Format: Journal Article
• Language: English
• Published: 18.10.2024
• Subjects: Mathematics - Algebraic Geometry; Mathematics - Combinatorics; Mathematics - Commutative Algebra

Let $W$ be a finite group generated by reflections of a lattice $M$. If a lattice polytope $P \subset M \otimes_{\mathbb Z}\mathbb R$ is preserved by $W$, then we show that the quotient of the projective toric variety $X_P$ by $W$ is isomorphic to the toric variety $X_{P \cap D}$, where $D$ is a fun...