Zobrazeno 1 - 4
of 4
pro vyhledávání: '"14H20, 32S25"'
Autor:
Fernández-Hernández, Alberto
This final degree project is devoted to study the topological classification of complex plane curves. These are subsets of $\mathbb{C}^2$ that can be described by an equation $f(x,y)=0$. Loosely speaking, curves are said to be equivalent in a topolog
Externí odkaz:
http://arxiv.org/abs/2402.13941
Publikováno v:
Kyoto Journal of Mathematics 60 (2020) 269-289
We introduce a variation of the well-known Newton-Hironaka polytope for algebroid hypersurfaces. This combinatorial object is a perturbed version of the original one, parametrized by a real number. For well-chosen values of the parameter, the objects
Externí odkaz:
http://arxiv.org/abs/2402.05510
We prove that, if two germs of plane curves $(C,0)$ and $(C',0)$ with at least one singular branch are equivalent by a (real) smooth diffeomorphism, then $C$ is complex isomorphic to $C'$ or to $\overline{C'}$. A similar result was shown by Ephraim f
Externí odkaz:
http://arxiv.org/abs/2309.12958
Autor:
Piedra, R., Tornero, J. M.
Publikováno v:
Comptes Rendus Math\'ematiques 344 (2007) 309-312
Hironaka's concept of characteristic polyhedron of a singularity has been one of the most powerful and fruitful ideas of the last decades in singularity theory. In fact, since then combinatorics have become a major tool in many important results. How
Externí odkaz:
http://arxiv.org/abs/math/0604384