Monster towers from differential and algebraic viewpoints
Journal of Singularities, Tome 25 (2022), pp. 331-347

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Monster Towers were fathered by J. G. Semple in 1954 and were frequently used in algebraic geometry since then. Those towers got a second youth with A. Kumpera's works in the 1980's and Bryant and Hsu's modern treatment (1993) of the Cartan prolongation in differential geometry. In consequence, there have emerged Goursat- and [special-multi]-flags living on the stages of the same Monster/Semple Towers, and featuring rich trees of singularities (albeit not of a wild functional type, omnipresent among more generic structures in the tangent bundles to manifolds).
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Piotr Mormul. Monster towers from differential and algebraic viewpoints. Journal of Singularities, Tome 25 (2022), pp. 331-347. doi: 10.5427/jsing.2022.25o

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