Nonexistence of asymptotic GIT compactification

Nonexistence of Asymptotic Git Compactification

We provide examples of families of (log) smooth canonically polarized varieties, including smooth weighted pointed curves and smooth hypersurfaces in P with large degree such that the Chow semistable limits under distinct pluricanonical embeddings do not stabilize.

Asymptotic Nonexistence of Difference Sets in Dihedral Groups

Almost all known results on difference sets need severe restrictions on the parameters. The main purpose of this paper is to provide an asymptotic nonexistence result free from any assumptions on the parameters. The only assumption we make is that the underlying group is dihedral. Difference sets originally mainly were studied in cyclic groups where they exist in abundance. For example, for any...

A Positive Mass Theorem for Spaces with Asymptotic SUSY Compactification

We prove a positive mass theorem for spaces which asymptotically approach a flat Euclidean space times a Calabi-Yau manifold (or any special honolomy manifold except the quaternionic Kähler). This is motivated by the very recent work of Hertog-HorowitzMaeda [HHM]. In general relativity, isolated gravitational systems are modelled by asymptotically flat spacetimes. The spatial slices of such spa...

Compactification of κ-Frames

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...