Zobrazeno 1 - 10
of 472
pro vyhledávání: '"14B07"'
Autor:
da Silva, Thiago
Inspired by the results obtained in \cite{SR}, in this work, we develop techniques to handle the contraction property for weak normalization and Lipschitz saturation of algebras for the following types of algebras: universally injective, integral, ra
Externí odkaz:
http://arxiv.org/abs/2410.18942
Autor:
Kawamata, Yujiro
The derived McKay correspondence conjecture says that there is an equivalence of triangulated categories between the bounded derived categories of commutative and non-commutative crepant resolutions of a Gorenstein singularity. We will prove that thi
Externí odkaz:
http://arxiv.org/abs/2410.15340
Autor:
Beraldo, Dario, Pippi, Massimo
We apply methods of derived and non-commutative algebraic geometry to understand ramification phenomena on arithmetic schemes. As an application, we prove the Deligne-Milnor conjecture and, in the pure characteristic case, a generalization of Bloch c
Externí odkaz:
http://arxiv.org/abs/2410.02327
Autor:
Ciliberto, Ciro, Galati, Concettina
Let $\mathcal X\to\mathbb D$ be a flat family of projective complex 3-folds over a disc $\mathbb D$ with smooth total space $\mathcal X$ and smooth general fibre $\mathcal X_t,$ and whose special fiber $\mathcal X_0$ has double normal crossing singul
Externí odkaz:
http://arxiv.org/abs/2406.12365
Publikováno v:
Bull. Sci. Math. 197 (2024), Paper 103520
For studying the local topology of maps, one uses deformations which split the singularities into simpler ones while preserving the general fibres. We give conditions under which such conservation holds.
Comment: slight changes of terminology, a
Comment: slight changes of terminology, a
Externí odkaz:
http://arxiv.org/abs/2405.17292
The aim of this article is the classification of simple 0-dimensional isolated complete intersection singularities in positive characteristic. As usual, a singularity is called simple or 0-modal if there are only finitely many isomorphism classes of
Externí odkaz:
http://arxiv.org/abs/2404.19728
Autor:
Vassiliev, V. A.
We enumerate all isotopy classes of Morse polynomials ${\mathbb R}^3 \to {\mathbb R}^1$ of degree three with nonsingular principal homogeneous parts, proving in particular that there are exactly 37 of them. We also count all 2258 isotopy classes of {
Externí odkaz:
http://arxiv.org/abs/2404.17891
Autor:
Corti, Alessio, Ruddat, Helge
We introduce the concept of a viable generically toroidal crossing (gtc) Deligne--Mumford stack $Y$. This generalizes the concept of Gorenstein toroidal crossing space, which in turn generalizes that of a simple normal crossing scheme. On such a spac
Externí odkaz:
http://arxiv.org/abs/2312.13867
Autor:
Vassiliev, V. A.
We introduce a system of invariants of isotopy classes of Morse polynomials ${\mathbb R}^2 \to {\mathbb R}^1$, prove its completeness for polynomials of degrees $\leq 4$, calculate all 71 possible values of these invariants for the case of degree fou
Externí odkaz:
http://arxiv.org/abs/2311.11113
We give analytic and algebraic conditions under which a deformation of real analytic functions with non-isolated singular locus are locally topologically trivial at the boundary.
Comment: Condition (3) replaced by a weaker one
Comment: Condition (3) replaced by a weaker one
Externí odkaz:
http://arxiv.org/abs/2310.07340