The integral Hodge conjecture for two-dimensional Calabi–Yau categories
A Perry - Compositio Mathematica, 2022 - cambridge.org
We formulate a version of the integral Hodge conjecture for categories, prove the conjecture
for two-dimensional Calabi–Yau categories which are suitably deformation equivalent to the …
for two-dimensional Calabi–Yau categories which are suitably deformation equivalent to the …
Multiplicative Chow–Künneth decompositions and varieties of cohomological K3 type
Given a smooth projective variety, a Chow–Künneth decomposition is called multiplicative if
it is compatible with the intersection product. Following works of Beauville and Voisin, Shen …
it is compatible with the intersection product. Following works of Beauville and Voisin, Shen …
Nested varieties of K3 type
M Bernardara, E Fatighenti, L Manivel - Journal de l'École …, 2021 - numdam.org
In this paper, we study and relate Calabi-Yau subHodge structures of Fano subvarieties of
different Grassmannians. In particular, we construct isomorphisms between Calabi-Yau …
different Grassmannians. In particular, we construct isomorphisms between Calabi-Yau …
Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties
G Oberdieck - Forum of Mathematics, Sigma, 2022 - cambridge.org
We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …
holomorphic-symplectic variety of-type. This yields strong evidence for a new conjectural …
On the Chow ring of Fano varieties of type S2
R Laterveer - Abhandlungen aus dem Mathematischen Seminar der …, 2020 - Springer
We show that certain Fano eightfolds (obtained as hyperplane sections of an orthogonal
Grassmannian, and studied by Ito–Miura–Okawa–Ueda and by Fatighenti–Mongardi) have …
Grassmannian, and studied by Ito–Miura–Okawa–Ueda and by Fatighenti–Mongardi) have …
[PDF][PDF] On the Chow ring of certain Fano fourfolds
R Laterveer - Annales Universitatis Paedagogicae Cracoviensis …, 2020 - sciendo.com
Annales Universitatis Paedagogicae Cracoviensis Page 1 Ann. Univ. Paedagog. Crac. Stud.
Math. 19 (2020), 39-52 DOI: 10.2478/aupcsm-2020-0004 FOLIA 340 Annales Universitatis …
Math. 19 (2020), 39-52 DOI: 10.2478/aupcsm-2020-0004 FOLIA 340 Annales Universitatis …
The geometry of antisymplectic involutions, I
L Flapan, E Macrì, KG O'Grady, G Saccà - Mathematische Zeitschrift, 2022 - Springer
We study fixed loci of antisymplectic involutions on projective hyperkähler manifolds of K 3^
n K 3 n-type. When the involution is induced by an ample class of square 2 in the Beauville …
n K 3 n-type. When the involution is induced by an ample class of square 2 in the Beauville …
Fano 3-folds from homogeneous vector bundles over Grassmannians
Fano 3-folds from homogeneous vector bundles over Grassmannians | Revista Matemática
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Topics on Fano varieties of K3 type
E Fatighenti - arXiv preprint arXiv:2206.06204, 2022 - arxiv.org
This is a survey paper about a selection of recent results on the geometry of a special class
of Fano varieties, which are called of K3 type. The focus is mostly Hodge-theoretical, with an …
of Fano varieties, which are called of K3 type. The focus is mostly Hodge-theoretical, with an …
A note on a Griffiths-type ring for complete intersections in Grassmannians
E Fatighenti, G Mongardi - Mathematische Zeitschrift, 2021 - Springer
A note on a Griffiths-type ring for complete intersections in Grassmannians | SpringerLink Skip
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