Results 81 to 90 of about 84,048 (226)

Thurston obstructions and tropical geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.
Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley   +1 more source

On the hypersurface of Lüroth quartics

Michigan Mathematical Journal, 2010
The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane.
OTTAVIANI, GIORGIO MARIA, E. Sernesi
openaire   +5 more sources

On hypersurfaces in a locally affine Riemannian Banach manifold II

International Journal of Mathematics and Mathematical Sciences, 2004
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
doaj   +1 more source

K‐stable Fano threefolds of rank 2 and degree 28

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract Moduli spaces of Fano varieties have historically been difficult to construct. However, recent work has shown that smooth K‐polystable Fano varieties of fixed dimension and volume can be parametrised by a quasi‐projective moduli space. In this paper, we prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K‐polystable ...
Joseph Malbon
wiley   +1 more source

Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere

The Scientific World Journal, 2014
For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
doaj   +1 more source

Surface and form in contemporary architecture / Paviršius ir forma šiuolaikinėje architektūroje

Mokslas: Lietuvos Ateitis, 2012
Architectural form in contemporary architecture gains more and more independence and visual difference from the tectonic structure of the building. Many researchers of contemporary architecture separate a building’s “skin” from its carcass.
Algimantas M. Mačiulis
doaj   +1 more source

M\"obius and Laguerre geometry of Dupin Hypersurfaces

, 2015
In this paper we show that a Dupin hypersurface with constant M\"{o}bius curvatures is M\"{o}bius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isoparametric hypersurface in a sphere.
Li, Tongzhu, Qing, Jie, Wang, Changping
core  

Birational complexity and dual complexes

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We introduce the notion of birational complexity of a log Calabi–Yau pair. This invariant measures how far the log Calabi–Yau pair is from being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.
Mirko Mauri, Joaquín Moraga
wiley   +1 more source

Algebraic hypersurfaces [PDF]

Bulletin of the American Mathematical Society, 2019
We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry.
openaire   +2 more sources

Convergence of formal embeddings between real-analytic hypersurfaces in codimension one

, 2002
We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent.
Mir, Nordine
core   +2 more sources