Zobrazeno 1 - 10
of 494
pro vyhledávání: '"32S45"'
Autor:
Delgado, F., Maugendre, H.
We consider a finite analytic morphism $\varphi =(f,g)$ defined from a complex analytic normal surface $(Z,z)$ to ${\mathbb C}^2$. We describe the topology of the image by $\varphi$ of a reduced curve on $(Z,z)$ by means of iterated pencils defined r
Externí odkaz:
http://arxiv.org/abs/2412.13970
Autor:
Eyral, Christophe, Oka, Mutsuo
Let $f$ be a (possibly Newton degenerate) weighted homogeneous polynomial defining an isolated surface singularity at the origin of $\mathbb{C}^3$, and let $\{f_s\}$ be a generic deformation of its coefficients such that $f_s$ is Newton non-degenerat
Externí odkaz:
http://arxiv.org/abs/2412.06384
Autor:
Faber, Eleonore, Schober, Bernd
We study the connection between Conway-Coxeter frieze patterns and the data of the minimal resolution of a complex curve singularity: using Popescu-Pampu's notion of the lotus of a singularity, we describe a bijection between the dual resolution grap
Externí odkaz:
http://arxiv.org/abs/2412.02422
Autor:
Preda, Ovidiu, Stanciu, Miron
As proven in a celebrated theorem due to Vaisman, pure locally conformally K\"ahler metrics do not exist on compact K\"ahler manifolds. In a previous paper, we extended this result to the singular setting, more precisely to K\"ahler spaces which are
Externí odkaz:
http://arxiv.org/abs/2405.04162
Autor:
Louis, Ruben
Any Lie algebroid $A$ admits a Nash-type blow-up $\mathrm{Nash}(A)$ that sits in a nice short exact sequence of Lie algebroids $0\rightarrow K\rightarrow \mathrm{Nash}(A)\rightarrow \mathcal{D}\rightarrow 0$ with $K$ a Lie algebra bundle and $\mathca
Externí odkaz:
http://arxiv.org/abs/2404.08840
Autor:
Joiţa, Cezar, Tibăr, Mihai
The image of a holomorphic map germ is not necessarily locally open, and it is not always well-defined as a set germ. We find the structure of what becomes the image of a map germ when the target is a surface. We encode it as a decorated tree and we
Externí odkaz:
http://arxiv.org/abs/2403.09844
Autor:
Martín-Morales, Jorge
Publikováno v:
Revista de la Real Academia de Ciencias de Zaragoza 2024
We provide an algorithm for computing the number of integral points lying in certain triangles that do not have integral vertices. We use techniques from Algebraic Geometry such as the Riemann-Roch formula for weighted projective planes and resolutio
Externí odkaz:
http://arxiv.org/abs/2402.18193
Autor:
Dey, Souvik, Lank, Pat
This note is concerned with generation in the derived category of bounded complexes with coherent cohomology over a Noetherian scheme. We demonstrate a flavor of `d\'{e}vissage' by identifying two explicit collections of structure sheaves for closed
Externí odkaz:
http://arxiv.org/abs/2401.13661
Autor:
Preda, Ovidiu, Stanciu, Miron
In this paper, we prove a stability result for the non-K\"ahler geometry of locally conformally K\"ahler (lcK) spaces with singularities. Specifically, we find sufficient conditions under which the image of an lcK space by a holomorphic mapping also
Externí odkaz:
http://arxiv.org/abs/2311.14372
Autor:
Mayther, Laurence H.
This paper uses scaling arguments to prove the unboundedness above of the Hitchin functional on closed $\mathrm{G}_2$ 3-forms for two explicit closed 7-manifolds. The first manifold is the product $X \times S^1$ (where $X$ is the Nakamura manifold co
Externí odkaz:
http://arxiv.org/abs/2308.07315