Computing jumping numbers in higher dimensions

Autor: Ferran Dachs-Cadefau, Hans Baumers

Publikováno v: manuscripta mathematica. 161:35-59

The aim of this paper is to generalize the algorithm to compute jumping numbers on rational surfaces described in [AAD14] to varieties of dimension at least 3. Therefore, we introduce the notion of $\pi$-antieffective divisors, generalizing antinef d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::976c25ee42aa48b1697e88c5688fcb5b
https://doi.org/10.1007/s00229-018-1069-1

Computing Multiplier Ideals in Smooth Surfaces

Autor: Ferran Dachs Cadefau, Guillem Blanco

Publikováno v: Trends in Mathematics ISBN: 9783030000264

We present an algorithm to compute the jumping numbers and the multiplier ideals associated to a given ideal in a regular two-dimensional local ring. All computations are effective in the sense that both the input and the output are ideals generated

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::04761989f85b50ad7b926f15e9f1e8c6
https://doi.org/10.1007/978-3-030-00027-1_9

Multiplier ideals in two-dimensional local rings with rational singularities

Autor: Maria Alberich-Carramiñana, Ferran Dachs-Cadefau, Josep Àlvarez Montaner

Publikováno v: Michigan Math. J. 65, iss. 2 (2016), 287-320
Scopus-Elsevier
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Digital.CSIC. Repositorio Institucional del CSIC

arXiv:1412.3605v2
The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal determine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9d7d0959ee2e48f4689165f4b0853e7
http://projecteuclid.org/euclid.mmj/1465329014