New logarithm laws and lattice point bounds yield a proof of power loss in the Mizohata-Takeuchi conjecture with explicit errors and establish genericity in C^k.
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Brieskorn-Pham varieties over C satisfy generalized Zariski cancellation, with the product isomorphism implying isomorphism as C*-varieties.
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Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture
New logarithm laws and lattice point bounds yield a proof of power loss in the Mizohata-Takeuchi conjecture with explicit errors and establish genericity in C^k.
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Generalized Zariski cancellation for Brieskorn--Pham varieties
Brieskorn-Pham varieties over C satisfy generalized Zariski cancellation, with the product isomorphism implying isomorphism as C*-varieties.