Smash nilpotence on uniruled 3-folds
Ronnie Sebastian
TL;DR
This paper proves Voevodsky's conjecture that numerical and smash equivalence coincide for uniruled 3-folds and certain cycles on Kummer surface products, advancing understanding of algebraic cycle equivalences.
Contribution
It establishes the conjecture for uniruled 3-folds and specific cycles on Kummer surfaces, a significant step in algebraic geometry.
Findings
Numerical and smash equivalence coincide on uniruled 3-folds.
Voevodsky's conjecture holds for certain cycles on products of Kummer surfaces.
The results confirm the conjecture in new classes of algebraic varieties.
Abstract
Voevodsky has conjectured that numerical and smash equivalence coincide on a smooth projective variety. We prove this conjecture holds for uniruled 3-folds and for one dimensional cycles on products of Kummer surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Polynomial and algebraic computation