An Explicit ∂-integration Formula for Weighted Homogeneous Varieties Ii, Forms of Higher Degree

نویسنده

  • J. RUPPENTHAL
چکیده

Let Σ be a weighted homogeneous (singular) subvariety of C . The main objective of this paper is to present a class of explicit integral formulae for solving the ∂-equation ω = ∂λ on the regular part of Σ, where ω is a ∂-closed (0, q)-form with compact support and degree q ≥ 1. Particular cases of these formulae yield L-bounded solution operators for 1 ≤ p ≤ ∞ if Σ is a homogeneous and pure dimensional subvariety of C with an arbitrary singular locus.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Explicit ∂-integration Formula for Weighted Homogeneous Varieties

Let Σ be a weighted homogeneous (singular) subvariety of C . The main objective of this paper is to present an explicit formula for solving the ∂-equation λ = ∂g on the regular part of Σ, where λ is a ∂-closed (0, 1)-form with compact support. This formula will then be used to give Hölder estimates for the solution in case Σ is homogeneous (a cone) with an isolated singularity. Finally, a sligh...

متن کامل

The Frobenius and Monodromy Operators for Curves and Abelian Varieties

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I. Definitions of the operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. Definitions of N and F for curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1. The monodromy ope...

متن کامل

Higher-Dimensional Integration with Gaussian Weight for Applications in Probabilistic Design

Higher-dimensional Gaussian weighted integration is of interest in probabilistic simulations. Motivated by the need for variance calculations with functions being at least quadratic, the family of degree 5 formulae is considered. Using an existing formula for the integration over the surface of an n-sphere, an efficient, new formula for Gaussian weighted integration is obtained. Several other f...

متن کامل

On Tangential Varieties of Rational Homogeneous Varieties

We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit info...

متن کامل

An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\ of rank two

Ngcibi, Murali and Makamba [Fuzzy subgroups of rank two abelian$p$-group, Iranian J. of Fuzzy Systems {bf 7} (2010), 149-153]considered the number of fuzzy subgroups of a finite abelian$p$-group $mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ of rank two, andgave explicit formulas for the cases when $m$ is any positiveinteger and $n=1,2,3$. Even though their method can be used for thecases when $n=4,5,l...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008