Add to ORKGWe describe all the elliptic fibrations with section on the Kummer surface X of the Jacobian of a very general curve C of genus 2 over an algebraically closed field of characteristic 0, modulo the automorphism group of X and the symmetric group on the Weierstrass points of C. In particular, we compute elliptic parameters and Weierstrass equations for the 25 different fibrations and analyze the reducible fibers and Mordell-Weil lattices. This answers completely a question posed by Kuwata and Shioda in 2008.National Science Foundation (U.S.) (Grant DMS-0757765)National Science Foundation (U.S.) (Grant DMS-0952486)Solomon Buchsbaum AT&T Research Fun
In this paper we complete the classification of the elliptic fibrations on K3 surfaces which admit a...
K3 surfaces have been extensively studied over the past decades for several reasons. For once, they ...
Conditional on finiteness of relevant Shafarevich--Tate groups, Harpaz and Skorobogatov used Swinner...
We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 ...
We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also ...
In this talk, we give an explicit description for the relation between algebraic Kummer surfaces of ...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
The study of algebraic surfaces has always been a central field in Algebraic Geometry: since the Ita...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
For a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, ...
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, ...
We present an explicit model of the Jacobian variety, and give a set of quadratic defining equations...
A generalized Kummer surface $X$ obtained as the quotient of an abelian surface by a symplectic auto...
In one of their early works, Miranda and Persson have clas-sified all possible configurations of sin...
In this paper we complete the classification of the elliptic fibrations on K3 surfaces which admit a...
K3 surfaces have been extensively studied over the past decades for several reasons. For once, they ...
Conditional on finiteness of relevant Shafarevich--Tate groups, Harpaz and Skorobogatov used Swinner...
We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 ...
We classify all Jacobian elliptic fibrations on K3 surfaces with finite automorphism group. We also ...
In this talk, we give an explicit description for the relation between algebraic Kummer surfaces of ...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
The study of algebraic surfaces has always been a central field in Algebraic Geometry: since the Ita...
K3 surfaces are an important tool used to understand the symmetries in physics that link different s...
For a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, ...
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, ...
We present an explicit model of the Jacobian variety, and give a set of quadratic defining equations...
A generalized Kummer surface $X$ obtained as the quotient of an abelian surface by a symplectic auto...
In one of their early works, Miranda and Persson have clas-sified all possible configurations of sin...
In this paper we complete the classification of the elliptic fibrations on K3 surfaces which admit a...
K3 surfaces have been extensively studied over the past decades for several reasons. For once, they ...
Conditional on finiteness of relevant Shafarevich--Tate groups, Harpaz and Skorobogatov used Swinner...