LAUSR

Chow Ring of Generic Maximal Orthogonal Grassmannians

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0 Published in 2017 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-017-3317-4

Abstract: The Chow ring of the maximal orthogonal Grassmannian corresponding to a versal torsor is computed. In particular, this shows that the ring has no torsion as an Abelian group. Bibliography: 5 titles. read more here.

Keywords: maximal orthogonal; ring generic; chow ring; orthogonal grassmannians ... See more keywords

A REMARK ON THE CHOW RING OF KÜCHLE FOURFOLDS OF TYPE $d3$

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0 Published in 2019 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972719000273

Abstract: We prove that a Küchle fourfold $X$ of type d3 has a multiplicative Chow–Künneth decomposition. We present some consequences for the Chow ring of $X$ . read more here.

Keywords: chle fourfolds; remark chow; ring chle; chow ring ... See more keywords

On the Chow ring of Fano varieties on the Fatighenti–Mongardi list

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2 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1955900

Abstract: Conjecturally, Fano varieties of K3 type admit a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. We prove this for many of the families of Fano varieties of K3 type constructed by Fatighenti–Mongardi. This has… read more here.

Keywords: fano varieties; chow ring; varieties fatighenti; fatighenti mongardi ... See more keywords