Zobrazeno 1 - 10
of 29
pro vyhledávání: '"14E15, 32S45"'
Autor:
Friedman, Robert, Laza, Radu
Publikováno v:
Ãpijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (November 5, 2024) epiga:10899
We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension $3$ and consider examples which are good (log) resolutions as well as
Externí odkaz:
http://arxiv.org/abs/2203.11738
Autor:
Joshi, Nalini
This expository article written for the Notices of the American Mathematical Society provides an overview of transcendental functions arising as solutions of the discrete Painlev\'e equations, for which the developments of the last two decades have b
Externí odkaz:
http://arxiv.org/abs/1912.08959
On the Morse-Bott property of analytic functions on Banach spaces with Lojasiewicz exponent one half
Autor:
Feehan, Paul M. N.
Publikováno v:
Calculus of Variations and Partial Differential Equations 59 (2020), article no. 87, 50 pages
It is a consequence of the Morse-Bott Lemma on Banach spaces that a smooth Morse-Bott function on an open neighborhood of a critical point in a Banach space obeys a Lojasiewicz gradient inequality with the optimal exponent one half. In this article w
Externí odkaz:
http://arxiv.org/abs/1803.11319
Publikováno v:
Commun. Math. Phys. 365 (2019) 93-214
We advocate that a generalized Kronheimer construction of the K\"ahler quotient crepant resolution $\mathcal{M}_\zeta \longrightarrow \mathbb{C}^3/\Gamma$ of an orbifold singularity where $\Gamma\subset \mathrm{SU(3)}$ is a finite subgroup naturally
Externí odkaz:
http://arxiv.org/abs/1710.01046
Autor:
Ayuso, Pedro Fortuny
We present a short proof of the fact that two irreducible germs of plane analytic curves are isotopic if they are equisingular, without recourse to the structure of the associated knots.
Externí odkaz:
http://arxiv.org/abs/1703.02823
The main problem studied is resolution of singularities of the cotangent sheaf of a complex- or real-analytic variety Y (or of an algebraic variety Y over a field of characteristic zero). Given Y, we ask whether there is a global resolution of singul
Externí odkaz:
http://arxiv.org/abs/1504.07280
Autor:
Kawanoue, Hiraku, Matsuki, Kenji
We establish an algorithm for resolution of singularities of an idealistic filtration in dimension 3 (at the local level) in positive characteristic, incorporating the method recently developed by Benito-Villamayor into our framework. Although (a glo
Externí odkaz:
http://arxiv.org/abs/1205.4556
Let X denote a reduced algebraic variety and D a Weil divisor on X. The pair (X,D) is said to be semi-simple normal crossings (semi-snc) at a point a of X if X is simple normal crossings at a (i.e., a simple normal crossings hypersurface, with respec
Externí odkaz:
http://arxiv.org/abs/1109.3205
Publikováno v:
Advances in Mathematics, 2012, vol. 231, no. 5, pp. 3003-3021
In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities except for normal crossings. The main new feature is a charact
Externí odkaz:
http://arxiv.org/abs/1107.5598
Autor:
Bierstone, Edward, Milman, Pierre D.
The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The idea is used in two related problems: (1) We give a proof of resolution
Externí odkaz:
http://arxiv.org/abs/1107.5595