scholarly journals Hodge cohomology of some foliated boundary and foliated cusp metrics

2014 ◽  
Vol 288 (2-3) ◽  
pp. 206-223 ◽  
Author(s):  
Jesse Gell-Redman ◽  
Frédéric Rochon
Keyword(s):  
Hodge Cohomology

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.

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 Hodge cohomology of invertible sheaves

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

scholarly journals The Hodge cohomology and cubic equivalences

1984 ◽  
Vol 94 ◽  
pp. 1-41 ◽  
Author(s):  
Hiroshi Saito
Keyword(s):  
Complex Number ◽  
Algebraic Surface ◽  
Projective Variety ◽  
Smooth Projective Variety ◽  
Chow Group ◽  
Geometric Genus ◽  
Singular Variety ◽  
Higher Dimensional ◽  
Hodge Cohomology ◽  
Complex Number Field

In 1969, Mumford [8] proved that, for a complete non-singular algebraic surface F over the complex number field C, the dimension of the Chow group of zero-cycles on F is infinite if the geometric genus of F is positive. To this end, he defined a regular 2-form ηf on a non-singular variety S for a regular 2-form η on F and for a morphism f: S → SnF, where SnF is the 72-th symmetric product of F, and he showed that ηf vanishes if all 0-cycles f(s), s ∈ S, are rationally equivalent. Roitman [9] later generalized this to a higher dimensional smooth projective variety V.

scholarly journals Hodge cohomology of gravitational instantons

2004 ◽  
Vol 122 (3) ◽  
pp. 485-548 ◽  
Author(s):  
Tamás Hausel ◽  
Eugenie Hunsicker ◽  
Rafe Mazzeo
Keyword(s):  
Gravitational Instantons ◽  
Hodge Cohomology
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