A closer look at semistability for singular principal bundles

We substantially refine the theory of singular principal bundles introduced in a former paper. In particular, we show that we need only honest singular principal bundles in our compactification. These are objects which carry the structure of a rational principal bundle in the sense of Ramanathan. Moreover, we arrive at a much simpler semistability condition. In the case of a semisimple group, this is just the Gieseker-version of Ramanathan's semistability condition for the corresponding rational principal $G$-bundle.Comment: To appear in the International Mathematics Research Notices. V2: Minor correction

Killian-Jamieson diverticulum mimicking a suspicious thyroid lesion

Killian-Jamieson diverticulum represents a rare form of esophageal diverticulum originating on the anterolateral wall of the cervical esophagus. Despite its rarity, it is crucial to recognize this entity, with such specific imaging findings, to avoid unnecessary invasive procedures such as fine-needle aspiration or even surgery.info:eu-repo/semantics/publishedVersio

Global Boundedness for Decorated Sheaves

An important classification problem in Algebraic Geometry deals with pairs (\E,\phi), consisting of a torsion free sheaf \E and a non-trivial homomorphism \phi\colon (\E^{\otimes a})^{\oplus b}\lra\det(\E)^{\otimes c}\otimes \L on a polarized complex projective manifold (X,\O_X(1)), the input data $a$, $b$, $c$, \L as well as the Hilbert polynomial of \E being fixed. The solution to the classification problem consists of a family of moduli spaces ${\cal M}^\delta:={\cal M}^{\delta-\rm ss}_{a/b/c/L/P}$ for the $\delta$-semistable objects, where \delta\in\Q[x] can be any positive polynomial of degree at most $\dim X-1$. In this note we show that there are only finitely many distinct moduli spaces among the ${\cal M}^\delta$ and that they sit in a chain of "GIT-flips". This property has been known and proved by ad hoc arguments in several special cases. In our paper, we apply refined information on the instability flag to solve this problem. This strategy is inspired by the fundamental paper of Ramanan and Ramanathan on the instability flag.Comment: To appear in the International Mathematics Research Notices. V2: A few typos corrected (notably in the definition of semistability in the introduction); Expanded Introductio

Massive pericardial effusion caused by hypothyroidism.

Although mild pericardial effusion is a usual finding in patients with hypothyroidism, massive pericardial effusion or pericardial tamponade is rare and customarily related to severe hypothyroidism. The diagnosis of hypothyroidism should be considered in the differential of patients presenting with unexplained pericardial effusion, even when signs and symptoms of hypothyroidism are nonexistent.info:eu-repo/semantics/publishedVersio

Delaunay Ends of Constant Mean Curvature Surfaces

The generalized Weierstrass representation is used to analyze the asymptotic behavior of a constant mean curvature surface that arises locally from an ordinary differential equation with a regular singularity. We prove that a holomorphic perturbation of an ODE that represents a Delaunay surface generates a constant mean curvature surface which has a properly immersed end that is asymptotically Delaunay. Furthermore, that end is embedded if the Delaunay surface is unduloidal

Design study of a high power in-pile nuclear thermionic space powerplant final report

Thermionic nuclear spacecraft power plan

Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms

We present a theorem on the unitarizability of loop group valued monodromy representations and apply this to show the existence of new families of constant mean curvature surfaces homeomorphic to a thrice-punctured sphere in the simply-connected 3-dimensional space forms $\R^3$, \bbS^3 and \bbH^3. Additionally, we compute the extended frame for any associated family of Delaunay surfaces.Comment: 18 pages, revised versio