A remark on the convergence of inverse $σ_k$-flow
We study the positivity of related cohomology classes concerning the convergence problem of inverse $σ_k$-flow in the conjecture proposed by Lejmi and Székelyhidi.
math.DG↗
arXiv subjects
Jian Xiao
Publications and source records attributed to Jian Xiao.
Characterizing volume via cone duality
For divisors over smooth projective varieties, we show that the volume can be characterized by the duality between pseudo-effective cone of divisors and movable cone of curves. Inspired by this result, we give and study a natural intersection-theoretic volume functional for 1-cycles over compact Kähler manifolds. In particular, for numerical equivalence classes of curves over projective varieties, it is closely related to the mobility functional.
math.AG↗
AstroCloud, a Cyber-Infrastructure for Astronomy Research: Architecture
AstroCloud is a cyber-Infrastructure for Astronomy Research initiated by Chinese Virtual Observatory (China-VO) under funding support from NDRC (National Development and Reform commission) and CAS (Chinese Academy of Sciences). The ultimate goal of this project is to provide a comprehensive end-to-end astronomy research environment where several independent systems seamlessly collaborate to support the full lifecycle of the modern observational astronomy based on big data, from proposal submission, to data archiving, data release, and to in-situ data analysis and processing. In this paper, the architecture and key designs of the AstroCloud platform are introduced, including data access middleware, access control and security framework, extendible proposal workflow, and system integration mechanism.
astro-ph.IM↗
AstroCloud, a Cyber-Infrastructure for Astronomy Research: Data Archiving and Quality Control
AstroCloud is a cyber-Infrastructure for Astronomy Research initiated by Chinese Virtual Observatory (China-VO) under funding support from NDRC (National Development and Reform commission) and CAS (Chinese Academy of Sciences){\url{http://astrocloud.china-vo.org}}\citep{O8-5_Cui_adassxxiv}. To archive the astronomical data in China, we present the implementation of the astronomical data archiving system (ADAS). Data archiving and quality control are the infrastructure for the AstroCloud. Throughout the data of the entire life cycle, data archiving system standardized data, transferring data, logging observational data, archiving ambient data, And storing these data and metadata in database. Quality control covers the whole process and all aspects of data archiving.
astro-ph.IM↗
AstroCloud, a Cyber-Infrastructure for Astronomy Research: Data Access and Interoperability
Data access and interoperability module connects the observation proposals, data, virtual machines and software. According to the unique identifier of PI (principal investigator), an email address or an internal ID, data can be collected by PI's proposals, or by the search interfaces, e.g. conesearch. Files associated with the searched results could be easily transported to cloud storages, including the storage with virtual machines, or several commercial platforms like Dropbox. Benefitted from the standards of IVOA (International Observatories Alliance), VOTable formatted searching result could be sent to kinds of VO software. Latter endeavor will try to integrate more data and connect archives and some other astronomical resources.
astro-ph.IM↗
Teissier's problem on proportionality of nef and big classes over a compact Kähler manifold
We solve Teissier's proportionality problem for transcendental nef classes over a compact Kähler manifold which says that the equality in the Khovanskii-Teissier inequalities hold for two nef and big classes if and only if the two classes are proportional. This result recovers the previous one of Boucksom-Favre-Jonsson for the case of nef and big line bundles over a (complex) projective algebraic manifold.
math.AG↗
Relations between the Kahler cone and the balanced cone of a Kahler manifold
In this paper, we consider a natural map from the Kahler cone to the balanced cone of a Kahler manifold. We study its injectivity and surjecticity. We also give an analytic characterization theorem on a nef class being Kahler.
math.DG↗
Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds
Transcendental holomorphic Morse inequalities aim at characterizing the positivity of transcendental cohomology classes of type $(1,1)$. In this paper, we prove a weak version of Demailly's conjecture on transcendental Morse inequalities on compact Kähler manifolds. And as a consequence, we partially improve a result of Boucksom-Demailly-Paun-Peternell.
math.CV↗
On strongly Gauduchon metrics of compact complex manifolds
In this paper, we study strongly Gauduchon metrics on compact complex manifolds. We study the cohomology cones SG in the de Rham cohomology groups generated by all strongly Gauduchon metrics and its direct images under proper modifications. We also study the moduli of strongly Gauduchon manifolds. We prove an existence result of strongly Gauduchon metrics on compact complex manifold which is fibred over a compact complex curve. In particular, if a compact complex manifold X has a topologically essential fibration over a compact complex curve, and if the generic fibres satisfy ddbar-lemma, then X admits strongly Gauduchon metrics.
math.DG↗