On the Chow ring of certain Fano fourfolds

Robert Laterveer

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2020)

  • Volume: 19, page 39-52
  • ISSN: 2300-133X

Abstract

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We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.

How to cite

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Robert Laterveer. "On the Chow ring of certain Fano fourfolds." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19 (2020): 39-52. <http://eudml.org/doc/296820>.

@article{RobertLaterveer2020,
abstract = {We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.},
author = {Robert Laterveer},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Algebraic cycles; Chow ring; motives; Beauville “splitting property”; Fano variety; K3 surface},
language = {eng},
pages = {39-52},
title = {On the Chow ring of certain Fano fourfolds},
url = {http://eudml.org/doc/296820},
volume = {19},
year = {2020},
}

TY - JOUR
AU - Robert Laterveer
TI - On the Chow ring of certain Fano fourfolds
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2020
VL - 19
SP - 39
EP - 52
AB - We prove that certain Fano fourfolds of K3 type constructed by Fatighenti–Mongardi have a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of these fourfolds.
LA - eng
KW - Algebraic cycles; Chow ring; motives; Beauville “splitting property”; Fano variety; K3 surface
UR - http://eudml.org/doc/296820
ER -

References

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