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On the log Sarkisov program for foliations on projective threefolds | Synapse

March 28, 2026Mathematische Zeitschrift0 citationsOpen Access

On the log Sarkisov program for foliations on projective threefolds

RMRoktim Mascharak

Key Points

To establish the Sarkisov Program for co-rank one foliations on normal projective threefolds and explore birational properties.
Proved the Sarkisov Program for specific foliations.
Exhibited a weaker version of birational super-rigidity.
Analyzed normal projective threefolds with specific singularities.
Sarkisov Program is established for co-rank one foliations.
Demonstrated weaker birational super-rigidity between foliated Mori fiber spaces.

Abstract

Abstract In this article, we prove the Sarkisov Program for co-rank one foliations with suitable singularities on normal projective threefolds. We also exhibit a weaker version of birational super-rigidity between two foliated Mori fiber spaces with rank one foliations on normal projective threefolds.

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Cite This Study

Roktim Mascharak (Thu,) studied this question.

synapsesocial.com/papers/69c771988bbfbc51511e19e5 https://doi.org/https://doi.org/10.1007/s00209-026-04001-y

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