منابع مشابه
Elliptic Convolution, G2, and Elliptic Surfaces
This is (a slightly more detailed version of) our talk at the conference in honor of Laumon’s sixtieth birthday. We report here on some unexpected occurrences of G2, first stumbled upon experimentally, later proven, but still not understood. Proofs will appear elsewhere.
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We make a complete list of all possible ADE-types of singular fibers of complex elliptic K3 surfaces and the torsion parts of their MordellWeil groups.
متن کاملMonodromy of elliptic surfaces
grows exponentially. Thus, monodromy groups of elliptic fibrations over P constitute a small, but still very significant fraction of all subgroups of finite index in SL(2,Z). Our goal is to introduce some structure on the set of monodromy groups of elliptic fibrations which would help to answer some natural questions. For example, we show how to describe the set of groups corresponding to ratio...
متن کاملProjectively Bounded Fréchet Measures
A scalar valued set function on a Cartesian product of σ-algebras is a Fréchet measure if it is a scalar measure independently in each coordinate. A basic question is considered: is it possible to construct products of Fréchet measures that are analogous to product measures in the classical theory? A Fréchet measure is said to be projectively bounded if it satisfies a Grothendieck type inequali...
متن کاملRational Points on Elliptic Surfaces
x.1. Elliptic Surfaces Deenition. An elliptic surface consists of a smooth (projective) surface E, a smooth (projective) curve C, and a morphism : E ?! C such that almost all bers E t = ?1 (t) are (smooth projective) curves of genus 1. In addition, we will generally assume that our elliptic surfaces come equipped with an identity section 0 : C ?! E which serves as the identity element of the gr...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1983
ISSN: 0019-2082
DOI: 10.1215/ijm/1256046367