Gysin maps and cycle classes for Hodge cohomology

1993 ◽  
Vol 103 (3) ◽  
pp. 209-247 ◽  
Author(s):  
V Srinivas
Keyword(s):  
Hodge Cohomology ◽  
Gysin Maps ◽  
Cycle Classes

scholarly journals Covering the alternating groups by products of cycle classes

2008 ◽  
Vol 115 (7) ◽  
pp. 1235-1245 ◽  
Author(s):  
Marcel Herzog ◽  
Gil Kaplan ◽  
Arieh Lev
Keyword(s):  
Alternating Groups ◽  
By Products ◽  
Cycle Classes

scholarly journals Deformation of algebraic cycle classes in characteristic zero

2014 ◽  
Vol 1 (3) ◽  
pp. 290-310 ◽  
Author(s):  
Spencer Bloch ◽  
Hélène Esnault ◽  
Moritz Kerz
Keyword(s):  
Characteristic Zero ◽  
Algebraic Cycle ◽  
Cycle Classes

scholarly journals The Walker Abel–Jacobi map descends

2021 ◽  
Author(s):  
Jeffrey D. Achter ◽  
Sebastian Casalaina-Martin ◽  
Charles Vial
Keyword(s):  
Abelian Variety ◽  
Projective Manifold ◽  
Field Of Definition ◽  
Definition Of ◽  
Complex Projective ◽  
Intermediate Jacobian ◽  
Cycle Classes ◽  
Coniveau Filtration

AbstractFor a complex projective manifold, Walker has defined a regular homomorphism lifting Griffiths’ Abel–Jacobi map on algebraically trivial cycle classes to a complex abelian variety, which admits a finite homomorphism to the Griffiths intermediate Jacobian. Recently Suzuki gave an alternate, Hodge-theoretic, construction of this Walker Abel–Jacobi map. We provide a third construction based on a general lifting property for surjective regular homomorphisms, and prove that the Walker Abel–Jacobi map descends canonically to any field of definition of the complex projective manifold. In addition, we determine the image of the l-adic Bloch map restricted to algebraically trivial cycle classes in terms of the coniveau filtration.

Chiral Hodge Cohomology and Mathieu Moonshine

2019 ◽  
Author(s):  
Bailin Song
Keyword(s):  
Finite Order ◽  
Unitary Representation ◽  
Central Charge ◽  
Vertex Algebra ◽  
K3 Surface ◽  
Hodge Cohomology

Abstract We construct a filtration of chiral Hodge cohomolgy of a K3 surface $X$, such that its associated graded object is a unitary representation of the $\mathcal{N}=4$ superconformal vertex algebra with central charge $c=6$ and its subspace of primitive vectors has the property; its equivariant character for a symplectic automorphism $g$ of finite order acting on $X$ agrees with the McKay–Thompson series for $g$ in Mathieu moonshine.

scholarly journals Zariski decompositions of numerical cycle classes

2016 ◽  
Vol 26 (1) ◽  
pp. 43-106 ◽  
Author(s):  
Mihai Fulger ◽  
Brian Lehmann
Keyword(s):  
Cycle Classes

Chow forms and Hodge cohomology classes

2014 ◽  
Vol 352 (4) ◽  
pp. 339-343 ◽  
Author(s):  
Michel Méo
Keyword(s):  
Hodge Cohomology ◽  
Chow Forms

scholarly journals Weighted Hodge cohomology of iterated fibred cusp metrics

2015 ◽  
Vol 39 (2) ◽  
pp. 177-184 ◽  
Author(s):  
Eugénie Hunsicker ◽  
Frédéric Rochon
Keyword(s):  
Hodge Cohomology

scholarly journals Volume-type functions for numerical cycle classes

2016 ◽  
Vol 165 (16) ◽  
pp. 3147-3187 ◽  
Author(s):  
Brian Lehmann
Keyword(s):  
Cycle Classes

scholarly journals Hodge cohomology of invertible sheaves

2009 ◽  
pp. 83-91 ◽  
Author(s):  
Hélène Esnault ◽  
Arthur Ogus
Keyword(s):  
Hodge Cohomology
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