Mostra el registre d'ítem simple
Bernstein-Sato functional equations, v -filtrations, and multiplier ideals of direct summands
dc.contributor.author | Álvarez Montaner, Josep |
dc.contributor.author | Hernández, Daniel J. |
dc.contributor.author | Jeffries, Jack |
dc.contributor.author | Núñez-Betancourt, Luis |
dc.contributor.author | Teixeira, Pedro |
dc.contributor.author | Witt, Emily E. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2022-03-10T11:59:30Z |
dc.date.available | 2022-03-10T11:59:30Z |
dc.date.issued | 2021-01-01 |
dc.identifier.citation | Alvarez, J. [et al.]. Bernstein-Sato functional equations, v -filtrations, and multiplier ideals of direct summands. "Communications in contemporary mathematics", 1 Gener 2021, núm. 2150083. |
dc.identifier.issn | 0219-1997 |
dc.identifier.uri | http://hdl.handle.net/2117/363821 |
dc.description.abstract | This paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of the Bernstein–Sato polynomial for a direct summand of a polynomial over a field is proved in this context. It is observed that this polynomial can have zero as a root, or even positive roots. Moreover, a theory of V -filtrations is introduced for nonregular rings, and the existence of these objects is established for what we call differentially extensible summands. This family of rings includes toric, determinantal, and other invariant rings. This new theory is applied to the study of multiplier ideals and Hodge ideals of singular varieties. Finally, we extend known relations among the objects of interest in the smooth case to the setting of singular direct summands of polynomial rings. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
dc.subject.lcsh | Commutative rings |
dc.subject.lcsh | Rings (Algebra) |
dc.subject.other | D-module |
dc.subject.other | Bernstein–Sato polynomial |
dc.subject.other | Direct summand |
dc.subject.other | V -filtrations |
dc.subject.other | Ring of invariants |
dc.subject.other | Multiplier ideal |
dc.title | Bernstein-Sato functional equations, v -filtrations, and multiplier ideals of direct summands |
dc.type | Article |
dc.subject.lemac | Anells commutatius |
dc.subject.lemac | Anells (Àlgebra) |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.1142/S0219199721500838 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14F (Co)homology theory |
dc.subject.ams | Classificació AMS::13 Commutative rings and algebras::13N Differential algebra |
dc.subject.ams | Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory |
dc.subject.ams | Classificació AMS::16 Associative rings and algebras::16S Rings and algebras arising under various constructions |
dc.relation.publisherversion | https://www.worldscientific.com/doi/abs/10.1142/S0219199721500838 |
dc.rights.access | Open Access |
local.identifier.drac | 32509412 |
dc.description.version | Postprint (published version) |
local.citation.author | Alvarez, J.; Hernández, D.; Jeffries, J.; Núñez-Betancourt, L.; Teixeira, P.; Witt, E. |
local.citation.publicationName | Communications in contemporary mathematics |
local.citation.number | 2150083 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [184]
-
Articles de revista [3.265]