48 citations
- Anhui UniversityCN3 papers
- Cornell UniversityUS3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Anhui Institute of Architectural Research and DesignCN1 paper
- Institut d'Astrophysique de ParisFR1 paper
- Laboratoire AstroParticule et CosmologieFR1 paper
- Laboratoire Univers et ThéoriesFR1 paper
- United States Department of DefenseUS1 paper
- University of Science and Technology of ChinaCN1 paper
7 papers
A Short Note on the Thom-Boardman Symbols of Differentiable Maps
Yulan Wang, Jiayuan Lin, Maorong Ge
It is well known that Thom-Boardman symbols are realized by non-increasing sequences of nonnegative integers. A natural question is whether the converse is also true. In this paper…
Hilbert series and Hilbert depth of squarefree Veronese ideals
Maorong Ge, Jiayuan Lin, Yulan Wang
In this paper, we obtain explicit formulas for the Hilbert series and Hilbert depth of squarefree Veronese ideals in a standard graded polynomial ring.
On a conjecture of Stanley depth of squarefree Veronese ideals
Maorong Ge, Jiayuan Lin, Yi-Huang Shen
In this paper, we partially confirm a conjecture, proposed by Cimpoeaş, Keller, Shen, Streib and Young, on the Stanley depth of squarefree Veronese ideals . This conjectur…
On the Thom-Boardman Symbols for Polynomial Multiplication Maps
Jiayuan Lin, Janice Wethington
The Thom-Boardman symbol was first introduced by Thom in 1956 to classify singularities of differentiable maps. It was later generalized by Boardman to a more general setting. Alth…
Orbifold construction of the modes of the Poincare dodecahedral space
Marc Lachieze-Rey, Jeffrey Weeks
We provide a new construction of the modes of the Poincare dodecahedral space S^3/I*. The construction uses the Hopf map, Maxwell's multipole vectors and orbifolds. In particular,…
A new analysis of Poincaré dodecahedral space model
S. Caillerie, M. Lachièze-Rey, J. -P. Luminet +3
The full three-year WMAP results (WMAP3) reinforce the absence of large-angle correlations at scales greater than 60 degrees. The Poincare dodecahedral space (PDS) model model, whi…