LAUSR

SOME NEW EXAMPLES OF SMASH-NILPOTENT ALGEBRAIC CYCLES

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0 Published in 2017 at "Glasgow Mathematical Journal"

DOI: 10.1017/s0017089516000434

Abstract: Abstract Voevodsky has conjectured that numerical equivalence and smash-equivalence coincide for algebraic cycles on any smooth projective variety. Building on work of Vial and Kahn–Sebastian, we give some new examples of varieties where Voevodsky's conjecture… read more here.

Keywords: examples smash; new examples; algebraic cycles; nilpotent algebraic ... See more keywords

A Moving Lemma for Algebraic Cycles With Modulus and Contravariance

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1 Published in 2019 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnz018

Abstract: We prove a moving lemma that implies the contravariance of Bloch–Esnault’s additive higher Chow group in smooth affine schemes and that of Binda–Saito’s higher Chow group (taken in the Nisnevich topology). read more here.

Keywords: lemma algebraic; algebraic cycles; modulus contravariance; cycles modulus ... See more keywords

Algebraic cycles and Todorov surfaces

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0 Published in 2018 at "Kyoto Journal of Mathematics"

DOI: 10.1215/21562261-2017-0027

Abstract: Motivated by the Bloch-Beilinson conjectures, Voisin has formulated a conjecture about 0-cycles on self-products of surfaces of geometric genus one. We verify Voisin's conjecture for the family of Todorov surfaces with $K^2=2$ and fundamental group… read more here.

Keywords: algebraic cycles; todorov surfaces; cycles todorov;