Add to ORKGWe construct canonical positive currents and heights on the boundary of the ample cone of a K3 surface. These are equivariant for the automorphism group and fit together into a continuous family, defined over an enlarged boundary of the ample cone. Along the way, we construct preferred representatives for certain height functions and currents on elliptically fibered surfaces.Comment: 70 pages, 5 figure
© 2018 International Press of Boston, Inc.. All rights reserved. We prove that, for a K3 surface in ...
Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$, and let $K_X$ b...
For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 ...
In this note we present examples of complex algebraic surfaces with canonical maps of degree $12$, $...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
This paper presents new examples of projective surfaces of general type over $\mathbb{C}$ with canon...
We show that there exists a sequence of genus three curves defined over the rationals in which the h...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
We present a method to calculate the action of the Mordell-Weil group of an elliptic K3 surface on t...
We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surf...
We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching...
The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.Comment: Ma...
AbstractLet π: S → P1 be an elliptic surface over the complex numbers. Let E be the generic fiber of...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
© 2018 International Press of Boston, Inc.. All rights reserved. We prove that, for a K3 surface in ...
Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$, and let $K_X$ b...
For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 ...
In this note we present examples of complex algebraic surfaces with canonical maps of degree $12$, $...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
This paper presents new examples of projective surfaces of general type over $\mathbb{C}$ with canon...
We show that there exists a sequence of genus three curves defined over the rationals in which the h...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
We present a method to calculate the action of the Mordell-Weil group of an elliptic K3 surface on t...
We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surf...
We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching...
The main purpose of this work is to prove the Andr\'e-Oort conjecture in full generality.Comment: Ma...
AbstractLet π: S → P1 be an elliptic surface over the complex numbers. Let E be the generic fiber of...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
© 2018 International Press of Boston, Inc.. All rights reserved. We prove that, for a K3 surface in ...
Let $X$ be a del Pezzo surface of degree one over an algebraically closed field $k$, and let $K_X$ b...
For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 ...