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arXiv · 2304.03976

Classification of marked elliptic root systems with non-reduced affine quotient

A. Fialowski·K. Iohara·Y. Saito
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Abstract

The class of root systems, called elliptic root systems, were introduced in 1985 by K. Saito, for his studies on a normal surface singularity which contains a regular elliptic curve in its minimal resolution. He also classified such root systems when they admit a reduced affine quotient, as root system. In this note, we provide the classification of elliptic root systems that admit a non-reduced affine quotient, thus complete the classification of such root systems.

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A. Fialowski, K. Iohara, Y. Saito. 2023-04-08. Classification of marked elliptic root systems with non-reduced affine quotient. https://arxiv.org/abs/2304.03976

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