Deformations of pullback foliations

Published 28 Dec 2024 in math.AG | (2412.19968v1)

Abstract: We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theorem on rigidity of conical singularities was achieved. We apply these techniques to provide a criterion for the stability of algebraic leaves of a foliation.

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Authors (1)

Pablo Perrella

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