Relevant bibliographies by topics / Invariant de Makar-Limanov

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  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Invariant de Makar-Limanov'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 May 2024

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Journal articles on the topic "Invariant de Makar-Limanov"

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Crachiola, Anthony, and Stefan Maubach. "The Derksen invariant vs. the Makar-Limanov invariant." Proceedings of the American Mathematical Society 131, no. 11 (2003): 3365–69. http://dx.doi.org/10.1090/s0002-9939-03-07155-7.

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Daigle, Daniel. "Affine surfaces with trivial Makar-Limanov invariant." Journal of Algebra 319, no. 8 (2008): 3100–3111. http://dx.doi.org/10.1016/j.jalgebra.2007.10.037.

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Finston, David, and Stefan Maubach. "Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants." Canadian Mathematical Bulletin 53, no. 1 (2010): 77–86. http://dx.doi.org/10.4153/cmb-2010-017-8.

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AbstractAn example is given of a UFD which has an infinitely generated Derksen invariant. The ring is “almost rigid” meaning that the Derksen invariant is equal to the Makar-Limanov invariant. Techniques to show that a ring is (almost) rigid are discussed, among which is a generalization of Mason's ABC-theorem.
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Daigle, Daniel, and Ratnadha Kolhatkar. "Complete intersection surfaces with trivial Makar-Limanov invariant." Journal of Algebra 350, no. 1 (2012): 1–35. http://dx.doi.org/10.1016/j.jalgebra.2011.09.032.

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Daigle, Daniel, та Peter Russell. "On Log ℚ-Homology Planes and Weighted Projective Planes". Canadian Journal of Mathematics 56, № 6 (2004): 1145–89. http://dx.doi.org/10.4153/cjm-2004-051-9.

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AbstractWe classify normal affine surfaces with trivial Makar-Limanov invariant and finite Picard group of the smooth locus, realizing them as open subsets of weighted projective planes. We also show that such a surface admits, up to conjugacy, one or two Ga-actions.
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Gurjar, R. V., K. Masuda, M. Miyanishi, and P. Russell. "Affine Lines on Affine Surfaces and the Makar–Limanov Invariant." Canadian Journal of Mathematics 60, no. 1 (2008): 109–39. http://dx.doi.org/10.4153/cjm-2008-005-8.

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AbstractA smooth affine surface X defined over the complex field C is an ML0 surface if the Makar– Limanov invariant ML(X) is trivial. In this paper we study the topology and geometry of ML0 surfaces. Of particular interest is the question: Is every curve C in X which is isomorphic to the affine line a fiber component of an A1-fibration on X? We shall show that the answer is affirmative if the Picard number ρ(X) = 0, but negative in case ρ(X) ≥ 1. We shall also study the ascent and descent of the ML0 property under proper maps.
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Dubouloz, Adrien. "Completions of normal affine surfaces with a trivial Makar-Limanov invariant." Michigan Mathematical Journal 52, no. 2 (2004): 289–308. http://dx.doi.org/10.1307/mmj/1091112077.

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Dubouloz, Adrien. "The cylinder over the Koras–Russell cubic threefold has a trivial Makar-Limanov invariant." Transformation Groups 14, no. 3 (2009): 531–39. http://dx.doi.org/10.1007/s00031-009-9051-3.

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Dubouloz, Adrien, and Alvaro Liendo. "Rationally integrable vector fields and rational additive group actions." International Journal of Mathematics 27, no. 08 (2016): 1650060. http://dx.doi.org/10.1142/s0129167x16500609.

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We characterize rational actions of the additive group on algebraic varieties defined over a field of characteristic zero in terms of a suitable integrability property of their associated velocity vector fields. This extends the classical correspondence between regular actions of the additive group on affine algebraic varieties and the so-called locally nilpotent derivations of their coordinate rings. Our results lead in particular to a complete characterization of regular additive group actions on semi-affine varieties in terms of their associated vector fields. Among other applications, we r
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Kaygorodov, Ivan, Samuel A. Lopes, and Farukh Mashurov. "Actions of the additive group Ga on certain noncommutative deformations of the plane." Communications in Mathematics 29, no. 2 (2021): 269–79. http://dx.doi.org/10.2478/cm-2021-0024.

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Abstract We connect the theorems of Rentschler [18] and Dixmier [10] on locally nilpotent derivations and automorphisms of the polynomial ring A 0 and of the Weyl algebra A 1, both over a field of characteristic zero, by establishing the same type of results for the family of algebras A h = 〈 x , y | y x − x y = h ( x ) 〉 , {A_h} = \left\langle {x,y|yx - xy = h\left( x \right)} \right\rangle , , where h is an arbitrary polynomial in x. In the second part of the paper we consider a field 𝔽 of prime characteristic and study 𝔽[t]-comodule algebra structures on Ah . We also compute the Makar-Liman
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Dissertations / Theses on the topic "Invariant de Makar-Limanov"

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Diniz, Renato dos Santos. "Invariante de Makar-Limanov de certas hipersuperfícies algébricas." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7384.

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Made available in DSpace on 2015-05-15T11:46:07Z (GMT). No. of bitstreams: 1 ArquivoTotalRenato.pdf: 567179 bytes, checksum: f04648306a82585dcc8b5e2b63f00126 (MD5) Previous issue date: 2014-08-29<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The Makar-Limanov invariant ML(B) of an a-ne k-algebra B (with k a -eld, which will be typically assumed to be of characteristic zero) is a very important invariant, defined in terms of the kernels of suitable derivations of B called locally nilpotent derivations. The theme has connections to various central problems in Commutative Al
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Liendo, Alvaro. "T-variétés affines : actions du groupe additif et singularités." Phd thesis, Université de Grenoble, 2010. http://tel.archives-ouvertes.fr/tel-00592274.

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Une T-variété est une variété algébrique munie d'une action effective d'un tore algébrique T. Cette thèse est consacrée à l'étude de deux aspects des T-variétés normales affines : les actions du groupe additif et la caractérisation des singularités. Soit X = Spec A une T-variété affine normale et soit D une dérivation homogène localement nilpotente de l'algèbre affine intègre Z^n-graduée A, alors D engendre une action du groupe additif dans X. On donne une classification complète des couples (X, D) dans trois cas : pour les variétés toriques, dans le cas de complexité un, et dans le cas où D e
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Liendo, Alvaro. "T-variétés affines : actions du groupe additif et singularités." Phd thesis, Grenoble, 2010. http://www.theses.fr/2010GRENM015.

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Une T-variété est une variété algébrique munie d'une action effective d'un tore algébrique T. Cette thèse est consacrée à l'étude de deux aspects des T -variétés normales affines: les actions du groupe additif et la caractérisation des singularités. Soit X=spec A une T-variété affine normale et soit D une dérivation homogène localement nilpotente de l'algèbre affine intègre Z"n-gradué A, alors D engendre une action du groupe additif dans X. On donne une classification complète des couples (X,D) dans trois cas: pour les variétés toriques, dans le cas de complexité un, et dans le cas où D est de
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DUBOULOZ, Adrien. "Sur une classe de schémas avec actions de fibrés en droites." Phd thesis, 2004. http://tel.archives-ouvertes.fr/tel-00007733.

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Pour une variété affine S définie sur un corps k de caracteristique nulle, il y a une correspondence bijective entre les actions algébriques du groupe additif k+=(k,+) sur S et les dérivations localement nilpotentes de l'algèb re des fonctions régulières sur S. Dans cette thèse, nous transposons cette équi valence entre actions et dérivations à la situation plus générale où π:S → X est un schéma de base X donnée, admettant des actions d'un fibré en droites p:L → X sur X. Nous étudions en détail une sous-classe de schémas S de ce type, ayant la propriété d'être muni d'une structure de fibré pri
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Book chapters on the topic "Invariant de Makar-Limanov"

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Freudenburg, Gene. "Makar-Limanov and Derksen Invariants." In Algebraic Theory of Locally Nilpotent Derivations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3_9.

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Popov, Vladimir. "On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2011. http://dx.doi.org/10.1090/crmp/054/17.

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