We present an algorithmic procedure to desingularize every 3-dimensional toric variety, while keeping under control the Euler characteristic of the varieties computed during the process. We prove that our upper bounds for the Euler characteristic of the desingularized toric varieties are the best possible.
An algorithmic desingularization of 3-dimensional toric varieties / S. Aguzzoli, D. Mundici. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - 46:4(1994), pp. 557-572.
An algorithmic desingularization of 3-dimensional toric varieties
S. AguzzoliPrimo
;
1994
Abstract
We present an algorithmic procedure to desingularize every 3-dimensional toric variety, while keeping under control the Euler characteristic of the varieties computed during the process. We prove that our upper bounds for the Euler characteristic of the desingularized toric varieties are the best possible.
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