Algebraic cycles and Fano threefolds of genus 8
نویسندگان
چکیده
We show that prime Fano threefolds $Y$ of genus 8 have a multiplicative Chow–Künneth decomposition, in the sense Shen–Vial. As consequence, certain tautological subring Chow ring powers injects into cohomology.
منابع مشابه
Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8 A. Iliev and L. Manivel
Let X be a general complex Fano threefold of genus 8. We prove that the moduli space of rank two semistable sheaves on X with Chern numbers c1 = 1, c2 = 6 and c3 = 0 is isomorphic to the Fano surface F (X) of conics on X . This surface is smooth and isomorphic to the Fano surface of lines in the orthogonal to X cubic threefold. Inside F (X), the non-locally free sheaves are parameterized by a s...
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ژورنال
عنوان ژورنال: Portugaliae Mathematica
سال: 2022
ISSN: ['1662-2758', '0032-5155']
DOI: https://doi.org/10.4171/pm/2069