Hyper-K\"ahler Fourfolds Fibered by Elliptic Products
نویسندگان
چکیده
منابع مشابه
Hyper-kähler Fourfolds Fibered by Elliptic Products
Every fibration of a projective hyper-Kähler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We classify those cases where the Abelian surface is a product of two elliptic curves, under some mild genericity hypotheses. Unlike the genus two case, we prove there are infinitely many deformat...
متن کاملExplicit Derivation of New Hyper-Kahler metric
Using the harmonic superspace techniques in D=2 N=4, we present an explicit derivation of a new hyper-Kahler metric associated to the Toda like self interaction H 4+ (ω, u) = (ξ ++ λ) 2 exp(2λω). Some important features are also discussed.
متن کاملToda Fields of So(3) Hyper–kahler Metrics
We examine the Toda frame formulation of the SO(3)–invariant hyper–Kahler 4–metrics, namely Eguchi–Hanson, Taub–NUT and Atiyah–Hitchin. Our method exploits the presence of a rotational SO(2) isometry, leading to the explicit construction of all three complex structures as a singlet plus a doublet. The Atiyah–Hitchin metric on the moduli space of BPS SU(2) monopoles with magnetic charge 2 is pur...
متن کاملCo-fibered Products of Algebraic Curves
We give examples of failure of the existence of cofibered products in the category of algebraic curves.
متن کاملTowers and Fibered Products of Model Structures
Given a left Quillen presheaf of localized model structures, we study the homotopy limit model structure on the associated category of sections. We focus specifically on towers and fibered products (pullbacks) of model categories. As applications we consider Postnikov towers of model categories, chromatic towers of spectra and Bousfield arithmetic squares of spectra. For stable model categories...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Épijournal de Géométrie Algébrique
سال: 2018
ISSN: 2491-6765
DOI: 10.46298/epiga.2018.volume2.3983