Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Homogeneous ACM bundles on isotropic Grassmannians
View through CrossRef
Abstract
In this paper, we characterize homogeneous arithmetically Cohen–Macaulay (ACM) bundles over isotropic Grassmannians of types ????, ???? and ???? in terms of step matrices.
We show that there are only finitely many irreducible homogeneous ACM bundles by twisting line bundles over these isotropic Grassmannians.
So we classify all homogeneous ACM bundles over isotropic Grassmannians combining the results on usual Grassmannians by Costa and Miró-Roig.
Moreover, if the irreducible initialized homogeneous ACM bundles correspond to some special highest weights, then they can be characterized by succinct forms.
Title: Homogeneous ACM bundles on isotropic Grassmannians
Description:
Abstract
In this paper, we characterize homogeneous arithmetically Cohen–Macaulay (ACM) bundles over isotropic Grassmannians of types ????, ???? and ???? in terms of step matrices.
We show that there are only finitely many irreducible homogeneous ACM bundles by twisting line bundles over these isotropic Grassmannians.
So we classify all homogeneous ACM bundles over isotropic Grassmannians combining the results on usual Grassmannians by Costa and Miró-Roig.
Moreover, if the irreducible initialized homogeneous ACM bundles correspond to some special highest weights, then they can be characterized by succinct forms.
Related Results
Numerical Study of Fracture Propagation in Isotropic and Transverse Isotropic Rocks Using Coupled Peridynamic and FEM
Numerical Study of Fracture Propagation in Isotropic and Transverse Isotropic Rocks Using Coupled Peridynamic and FEM
ABSTRACT
In this paper, we propose a new simulation method based on peridynamic for quasi-static fracture propagation in isotropic and transverse isotropic rocks....
Lexical Bundles in the Academic Writing of Advanced Chinese EFL Learners
Lexical Bundles in the Academic Writing of Advanced Chinese EFL Learners
The present study investigated the use of lexical bundles in the academic writing of advanced Chinese EFL learners. A corpus of doctoral dissertations by the learners and a corpus ...
The Use of Lexical Bundles in Findings and Discussion Sections of Graduate Students’ Thesis
The Use of Lexical Bundles in Findings and Discussion Sections of Graduate Students’ Thesis
Lexical bundles is a combination of words which consists of three or even more words that frequently occur together in particular registers. It is seen as an important aspect that ...
An Anatomical Comparison of the Roots, Stems and Leaves of Big Bluestem (Andropogon Gerardi), Side-Oat Grama (Bouteloua Curtipendula) and Blue Grama (Bouteloua Gracilis) at a Three-Week Stage of Development
An Anatomical Comparison of the Roots, Stems and Leaves of Big Bluestem (Andropogon Gerardi), Side-Oat Grama (Bouteloua Curtipendula) and Blue Grama (Bouteloua Gracilis) at a Three-Week Stage of Development
Big bluestem (Andropogon gerardi), side-oats grama (Bouteloua curtipendula) and blue grama (Bouteloua gracilis) represent a tall, mid and short grass type of vegetation respectivel...
Utilisation d'un anticorps monoclonal anti-Tn en immunothérapie des cancers
Utilisation d'un anticorps monoclonal anti-Tn en immunothérapie des cancers
La transformation des cellules normales de l’organisme en un phénotype malin est souvent accompagnée de changements dans leur antigénicité. L’antigène Tn (GalNac-O-Ser/Thréo) est u...
Exploring the Lexical Bundles Realizing Rhetorical Moves of Research Article Abstracts
Exploring the Lexical Bundles Realizing Rhetorical Moves of Research Article Abstracts
Research in phraseological units has significantly improved the understanding of academic discourse. One of the important phraseological units is lexical bundles. This study presen...
Crafting Scholarly Discourse: A Corpus-Based Descriptive Study of Lexical Bundles in Malaysian Postgraduate Theses
Crafting Scholarly Discourse: A Corpus-Based Descriptive Study of Lexical Bundles in Malaysian Postgraduate Theses
Academic writing is considered one of the most demanding skills for postgraduate students, particularly in English as a second language (ESL) contexts. Lexical bundles, which are r...
Dynamics of mechanically coupled hair-cell bundles of the inner ear
Dynamics of mechanically coupled hair-cell bundles of the inner ear
ABSTRACT
The high sensitivity and effective frequency discrimination of sound detection performed by the auditory system rely on the dynamics of a system of hair ce...