Calabi flow on toric varieties with bounded Sobolev constant, I

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Calabi-yau Varieties with Fibre Structures I

Motivated by the Strominger-Yau-Zaslow conjecture, we study fibre spaces whose total space has trivial canonical bundle. Especially, we are interest in CalabiYau varieties with fibre structures. In this paper, we only consider semi-stable families. We use Hodge theory and the generalized Donaldson-Simpson-Uhlenbeck-Yau correspondence to study the parabolic structure of higher direct images over...

متن کامل

Algebraic topology of Calabi–Yau threefolds in toric varieties

One of the most fruitful sources of Calabi–Yau threefolds is hypersurfaces, or more generally complete intersections, in toric varieties. This is especially true since there is a proposal for the mirror of any such Calabi–Yau threefold. Usually the toric varieties associated to convex lattice polytopes are singular, causing the Calabi–Yau threefolds in them also to be singular, so that to get s...

متن کامل

Torus Fibrations of Calabi-yau Hypersurfaces in Toric Varieties

1. Introduction. Strominger, Yau, and Zaslow [SYZ] conjectured that any Calabi-Yau manifold X having a mirror partner X ∨ should admit a special Lagrangian fi-bration π : X → B. (A mathematical account of their construction can be found in [M].) If so, the mirror manifold X ∨ is obtained by finding some suitable compactifi-cation of the moduli space of flat U(1)-bundles along the nonsingular fi...

متن کامل

Toric completions and bounded functions on real algebraic varieties

Given a semialgebraic set S, we study compactifications of S that arise from embeddings into complete toric varieties. This makes it possible to describe the asymptotic growth of polynomial functions on S in terms of combinatorial data. We extend our earlier work in [10] to compute the ring of bounded functions in this setting and discuss applications to positive polynomials and the moment prob...

متن کامل

Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties I

In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric variety near the large complex limit, with respect to the restriction of a toric metric on the toric variety to the Calabi-Yau hypersurface. The construction is based on the deformation of the standard toric generalized special Lagrangian torus fibration of th...

متن کامل

ذخیره 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: Complex Manifolds

سال: 2016

ISSN: 2300-7443

DOI: 10.1515/coma-2016-0009