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Joined 2026-09-21 Message
Incoming links: Borys Kadets
Borys Kadets 2026-11-05
Borys Kadets works on algebraic geometry and arithmetic questions involving Galois groups. His paper on monodromy of hyperplane sections of a smooth curve studies permutations of the intersection points between a projective curve and a moving hyperplane.[ref]
Sectional monodromy groups of projective curves by Borys Kadets. Original byline and abstract
For an appropriate irreducible projective curve in characteristic zero, the monodromy is the full symmetric group. In positive characteristic it can be smaller, and the paper analyzes these alternatives. This makes the characteristic of the coefficient field visible in how geometric intersection points can be permuted.[ref]
Sectional monodromy groups of projective curves by Borys Kadets. Proposition 1.1, Lemma 2.2 and Remark 3.5