AbstractWe show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple abelian varieties of type IV
We apply computations of twisted Hodge diamonds to construct an infinite number of non-Fourier-Mukai...
We consider certain universal functors on symmetric quotient stacks of Abelian varieties. In dimensi...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
AbstractWe show that certain abelian varieties A have the property that for every Hodge structure V ...
Abstract. We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds...
We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds true for ...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
Abstract. We prove the Mumford-Tate conjecture for absolutely simple abelian fourfolds with trivial ...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimensio...
In despair, as Deligne (2000) put it, of proving the Hodge and Tate conjectures, we can try to find ...
The focus of this thesis is $\mathbb{Q}$-Hodge structures with Hodge numbers $(n,0,\ldots,0,n)$, whi...
We analyze the relationship between abelian fourfolds of Weil type and Hodge structures of type K3, ...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
We apply computations of twisted Hodge diamonds to construct an infinite number of non-Fourier-Mukai...
We consider certain universal functors on symmetric quotient stacks of Abelian varieties. In dimensi...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
AbstractWe show that certain abelian varieties A have the property that for every Hodge structure V ...
Abstract. We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds...
We construct a family of abelian varieties of CM-type such that the Hodge conjecture holds true for ...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
Abstract. We prove the Mumford-Tate conjecture for absolutely simple abelian fourfolds with trivial ...
We give an introduction to non-abelian Hodge theory for curves with the aim of stating the P = W con...
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex...
The primitive cohomology of the theta divisor of a principally polarized abelian variety of dimensio...
In despair, as Deligne (2000) put it, of proving the Hodge and Tate conjectures, we can try to find ...
The focus of this thesis is $\mathbb{Q}$-Hodge structures with Hodge numbers $(n,0,\ldots,0,n)$, whi...
We analyze the relationship between abelian fourfolds of Weil type and Hodge structures of type K3, ...
Over the past 2O years classical Hodge theory has undergone several generalizations of great interes...
We apply computations of twisted Hodge diamonds to construct an infinite number of non-Fourier-Mukai...
We consider certain universal functors on symmetric quotient stacks of Abelian varieties. In dimensi...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
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