Local and Global Theory of the Moduli of Polarized Calabi-Yau Manifolds
نویسندگان
چکیده
منابع مشابه
On the Geometry of Moduli Space of Polarized Calabi-yau Manifolds
Let X be a compact Kähler manifold with zero first Chern class, and let L be an ample line bundle overX . The pair (X,L) is called a polarized Calabi-Yaumanifold. By Yau’s proof of the Calabi conjecture, we know such a manifold carries a unique Ricci flat metric compatable with the polarization (cf. [37]). Thus, the moduli space of such Ricci flat Kähler metrics is the moduli space of complex s...
متن کاملOn the Moduli Space of Calabi-yau Manifolds
Let X be a simply connected compact Kähler manifold with zero first Chern class, and let L be an ample line bundle over X. The pair (X,L) is called a polarized Calabi-Yau manifold. By a theorem of Mumford, the moduli space of the pair (X,L) (CY moduli) exists and is a complex variety. Locally, up to a finite cover, the moduli space is smooth (see [20, 21]). There is a natural Kähler metric, cal...
متن کاملBrane Superpotential and Local Calabi–yau Manifolds
We briefly report on some recent progress in the computation of B-brane superpotentials for Type II strings compactified on Calabi–Yau manifolds, obtained by using a parametrization of tubular neighborhoods of complex submanifolds, also known as local spaces. In particular, we propose a closed expression for the superpotential of a brane on a genus-g curve in a Calabi–Yau threefold in the case ...
متن کاملThe Rigidity of Families of Polarized Calabi-Yau Manifolds
In this paper,we study the Shafarevich conjecture for moduli space of polarized Calabi-Yau manifolds and obtain some results on the rigidity of families of Calabi-Yau manifolds. We use variation of Hodge structure and Higgs bundle to establish a criterion for rigidity and apply it to show some important families of Calabi-Yau manifolds are rigid,for examples: Lefschetz pencils of Calabi-Yau man...
متن کاملWeil-petersson Geometry on Moduli Space of Polarized Calabi-yau Manifolds
Moduli spaces of general polarized algebraic varieties are studied extensively by algebraic geometers. However, there are two classes of moduli spaces where the methods of differential geometry are equally powerful. These are the moduli spaces of curves and the moduli spaces of polarized Calabi-Yau manifolds. Both spaces are complex orbifolds. The Weil-Petersson metric is the main tool for inve...
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: Revista Matemática Iberoamericana
سال: 2003
ISSN: 0213-2230
DOI: 10.4171/rmi/365