Proves absolute Wu formula for regular projective flat schemes over finite fields or S-integers away from 2, producing generalized Hecke theorem with mod-2 Chern class congruences via arithmetic 2-Todd series.
Orientation theory in arithmetic geometry
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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The thesis constructs the étale fundamental group via the étale topology and recovers it alongside topological and motivic versions through Tannakian duality.
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Arithmetic Wu Formulas and the Generalized Hecke Theorem
Proves absolute Wu formula for regular projective flat schemes over finite fields or S-integers away from 2, producing generalized Hecke theorem with mod-2 Chern class congruences via arithmetic 2-Todd series.
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\'Etale Fundamental Groups -- a geometric and topological approach to fundamental groups in algebraic geometry
The thesis constructs the étale fundamental group via the étale topology and recovers it alongside topological and motivic versions through Tannakian duality.