Abstract

We present the complete classification of smooth toric Fano threefolds, known to the algebraic geometry literature, and perform some preliminary analyses in the context of brane-tilings and Chern-Simons theory on M2-branes probing Calabi-Yau fourfold singularities. We emphasise that these 18 spaces should be as intensely studied as their well-known counter-parts: the del Pezzo surfaces.

Publication Type:	Article
Additional Information:	Also published as a report (Imperial/TP/09/AH/02) arXiv:0904.1847v1
Departments:	School of Science & Technology > Mathematics

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