Add to ORKGIn this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of characteristic zero. Our technique involves developing a theory of Kodaira-Spencer forms and building connections to deformation theory. In our development, we answer several open questions posed by Rosen and some natural questions about Manin kernels.Comment: arXiv admin note: text overlap with arXiv:1707.0871
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The study of differential equations and the study of algebraic geometry are two disciplines within m...
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Given an algebraic differential equation of order greater than one, it is shown that if there is any...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Working over imperfect fields, we give a comprehensive classification of genus-one curves that are r...
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Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
We construct a universal local deformation (Kuranishi family) for pairs consisting of a compact comp...
A result of Popa and Schnell shows that any holomorphic 1-form on a smooth complex projective variet...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The study of differential equations and the study of algebraic geometry are two disciplines within m...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...
Given an algebraic differential equation of order greater than one, it is shown that if there is any...
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We de...
Working over imperfect fields, we give a comprehensive classification of genus-one curves that are r...
We prove Chai's conjecture on the additivity of the base change conductor of semiabelian varieties i...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
Let $(G,X)$ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $G_{\mathbf{Q}_p}...
We construct a universal local deformation (Kuranishi family) for pairs consisting of a compact comp...
A result of Popa and Schnell shows that any holomorphic 1-form on a smooth complex projective variet...
In the first part, we introduce a new condition, called toric-additivity, on a family of abelian var...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The notion of strict equivalence for order one differential equations of the form f(y′,y,z)=0 with c...
The study of differential equations and the study of algebraic geometry are two disciplines within m...
For a smooth projective variety $X$ over a number field $k$ a conjecture of Bloch and Beilinson pred...