Antonio Romero
Orvium
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Published
Open Review
27 Apr 2008
| By
 Hidefumi Hidefumi Ohsugi
 Takayuki Takayuki Hibi

Let $G$ be a finite graph allowing loops, having no multiple edge and no isolated vertex. We associate $G$ with the edge polytope ${\cal P}_G$ and the toric ideal $I_G$. By classifying graphs whose edge polytope is simple, it is proved that the toric ideals $I_G$ of $G$...

Published
Open Review
23 Mar 2008
| By
 Max Max Lieblich

We study stacks of slope-semistable twisted sheaves on orbisurfaces with projective coarse spaces and prove that in certain cases they have many of the asymptotic properties enjoyed by the moduli of slope-semistable sheaves on smooth projective surfaces. Comment: 27 pages; further clarification of the introduction; comments still ...

Published
Open Review
23 Mar 2008
| By
 Yifan Yifan Yang
 Wadim Wadim Zudilin

Motivated by the relationship of classical modular functions and Picard--Fuchs linear differential equations of order 2 and 3, we present an analogous concept for equations of order 4 and 5. Comment: 33 pages

Published
Open Review
14 Apr 2008
| By
 Hee Jung Hee Jung Kim
 Daniel Daniel Ruberman

We give two constructions of surfaces in simply-connected 4-manifolds with non simply-connected complements. One is an iteration of the twisted rim surgery introduced by the first author. We also construct, for any group G satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement...

Published
Open Review
13 Mar 2008
| By
 B. B. Militello
...
 A. A. Messina
 B. B. Militello

Repeated observations of a quantum system interacting with another one can drive the latter toward a particular quantum state, irrespectively of its initial condition, because of an {\em effective non-unitary evolution}. If the target state is a pure one, the degree of purity of the system approaches unity,...

Published
Open Review
29 Feb 2008
| By
 Sophie Sophie Morel

The goal of this paper is to calculate the trace of the composition of a Hecke correspondence and a (high enough) power of the Frobenius at a good place on the intersection cohomology of the Satake-Baily-Borel compactification of certain Shimura varieties, to stabilize the result for Shimura varieties...

Published
Open Review
20 Feb 2008
| By
 D. F. D. F. Roscoe

The claim that the large scale structure of the Universe is heirarchical has a very long history going back at least to Charlier's papers of the early 20th century. In recent years, the debate has centered largely on the works of Sylos Labini, Joyce, Pietronero and others, who...

Published
Open Review
17 Mar 2008
| By
 Thinh D. Thinh D. Nguyen
 Ha Duong Ha Duong Phan

In this paper, we prove that the set of triangulations of a polygon can be equipped with an order to become a lattice. First, we define this order. In [HN99], authors defined the flip operator and then prove some properties of the graph of triangulations. We use their...

Published
Open Review
29 Feb 2008
| By
 G. G. Trimarchi
...
 V. I. V. I. Anisimov
 G. G. Trimarchi

We present a joint implementation of dynamical-mean-field theory (DMFT) with the pseudopotential plane-wave approach, via Wannier functions, for the determination of the electronic properties of strongly correlated materials. The scheme uses, as input for the DMFT calculations, a tight-binding Hamiltonian obtained from the plane-wave calculations by projecting onto...

Published
Open Review
31 Jan 2008
| By
 Francis Francis Bonahon

We adapt some of the methods of quantum Teichm\"uller theory to construct a family of representations of the pure braid group of the sphere. Comment: 15 pages. Several typos corrected. To appear in Communications in Contemporary Mathematics

Most popular publications
visibility
43
Simple polytopes arising from finite graphs
 Hidefumi Hidefumi Ohsugi
 Takayuki Takayuki Hibi
visibility
19
Moduli of twisted orbifold sheaves
 Max Max Lieblich
Most popular publications
visibility
43
27/04/2008
Simple polytopes arising from finite graphs
 Hidefumi Hidefumi Ohsugi
 Takayuki Takayuki Hibi
visibility
19
23/03/2008
Moduli of twisted orbifold sheaves
 Max Max Lieblich