Sato hyperfunctions via relative Dolbeault cohomology

نویسندگان

چکیده

The relative Dolbeault cohomology which naturally comes up in the theory of Čech–Dolbeault turns out to be canonically isomorphic with local (relative) Grothendieck and Sato so that it provides a handy way representing latter. In this paper we use give simple explicit expressions hyperfunctions, some fundamental operations on them related duality theorems. This approach also yields new insight into hyperfunctions leads number further results applications. As one such, an embedding morphism Schwartz distributions space hyperfunctions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Dolbeault Cohomology of compact Nilmanifolds

Let M = G/Γ be a compact nilmanifold endowed with an invariant complex structure. Using a descending series associated to the complex structure and the Borel spectral sequences for the corresponding set of holomorphic fibrations, we prove a version of Nomizu’s Theorem for the Dolbeault cohomology of M .

متن کامل

Monodromy Map for Tropical Dolbeault Cohomology

We define monodromy maps for tropical Dolbeault cohomology of algebraic varieties over non-Archimedean fields. We propose a conjecture of Hodge isomorphisms via monodromy maps, and provide some evidence.

متن کامل

Dolbeault Cohomology of a Loop Space

Loop spaces LM of compact complex manifolds M promise to have rich analytic cohomology theories, and it is expected that sheaf and Dolbeault cohomology groups of LM will shed new light on the complex geometry and analysis of M itself. This idea first occurs in [W], in the context of the infinite dimensional Dirac operator, and then in [HBJ] that touches upon Dolbeault groups of loop spaces; but...

متن کامل

Dolbeault Cohomology and Deformations of Nilmanifolds

In these notes I review some classes of invariant complex structures on nilmanifolds for which the Dolbeault cohomology can be computed by means of invariant forms, in the spirit of Nomizu’s theorem for de Rham cohomology. Moreover, deformations of complex structures are discussed. Small deformations remain in some cases invariant, so that, by Kodaira-Spencer theory, Dolbeault cohomology can be...

متن کامل

Tropical Dolbeault Cohomology of Non-archimedean Spaces

In this survey article, we discuss some recent progress on tropical Dolbeault cohomology of varieties over non-Archimedean fields, a new cohomology theory based on real forms defined by Chambert-Loir and Ducros.

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: Journal of The Mathematical Society of Japan

سال: 2023

ISSN: ['1881-1167', '0025-5645']

DOI: https://doi.org/10.2969/jmsj/87668766