EXTENSIONS OF ISOMORPHISMS OF SUBVARIETIES IN FLEXIBLE VARIETIES

Autor: Shulim Kaliman

Publikováno v: Transformation Groups. 25:517-575

Let X be an algebraic variety isomorphic to the complement of a closed subvariety of dimension at most n − 3 in $$ {\mathbbm{A}}_{\mathrm{k}}^n $$. We find some conditions under which an isomorphism of two closed subvarieties of X can be extended t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5b1e0cc88e8360f62d4244bf6c70a343
https://doi.org/10.1007/s00031-019-09546-3

Complete algebraic vector fields on affine surfaces

Autor: Matthias Leuenberger, Frank Kutzschebauch, Shulim Kaliman

Publikováno v: Kaliman, Shulim; Kutzschebauch, Frank; Leuenberger, Matthias (2020). Complete algebraic vector fields on affine surfaces. International journal of mathematics, 31(3), 50 pp. World Scientific 10.1142/S0129167X20500184

Let $\AAutH (X)$ be the subgroup of the group $\AutH (X)$ of holomorphic automorphisms of a normal affine algebraic surface $X$ generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of al

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::008575072cc8503093f9f9fd5caa174f
https://boris.unibe.ch/151230/2/1411.5484.pdf

On subelliptic manifolds

Autor: Frank Kutzschebauch, Tuyen Trung Truong, Shulim Kaliman

Publikováno v: Kaliman, Shulim; Kutzschebauch, Frank; Truong, Tuyen Trung (2018). On subelliptic manifolds. Israel journal of mathematics, 228(1), pp. 229-247. Springer 10.1007/s11856-018-1760-7

A smooth complex quasi-affine algebraic variety $Y$ is flexible if its special group $\SAut (Y)$ of automorphisms (generated by the elements of one-dimensional unipotent subgroups of $\Aut (Y)$) acts transitively on $Y$. An irreducible algebraic mani

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3cc5084f4c8733e653f051b68ad6b8e6

Embeddings of $${\mathbb{C}^*}$$ -surfaces into weighted projective spaces

Autor: Mikhail Zaidenberg, Hubert Flenner, Shulim Kaliman

Publikováno v: manuscripta mathematica. 131:265-274

Let V be a normal affine surface which admits \({\mathbb{C}^*}\) - and \({\mathbb{C}_+}\) -actions. Such surfaces were classified e.g., in: Flenner and Zaidenberg (Osaka J Math 40:981–1009, 2003; 42:931–974), see also the references therein. In t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::23542cbe9c46c80e31b0f2120b2b8914
https://doi.org/10.1007/s00229-009-0315-y

Uniqueness of % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX % garmWu51MyVXgatuuDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wz % aebbnrfifHhDYfgasaacH8qrps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeWaeaaakeaatu % uDJXwAK1uy0HMmaeXbfv3ySLgzG0uy0HgiuD3BaGqbbiab-jqidnaa % CaaaleqabaGaey4fIOcaaaaa!433C! $ \mathbb{C}^{ * } $ - and % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX % garmWu51MyVXgatuuDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wz % aebbnrfifHhDYfgasaacH8qrps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeWaeaaakeaatu % uDJXwAK1uy0HMmaeXbfv3ySLgzG0uy0HgiuD3BaGqbbiab-jqidnaa % BaaaleaacaqGRaaabeaaaaa!42FA! $ \mathbb{C}_{{\text{ + }}} $ -actions on Gizatullin Surfaces

Autor: Mikhail Zaidenberg, Hubert Flenner, Shulim Kaliman

Publikováno v: Transformation Groups. 13:305-354

A Gizatullin surface is a normal affine surface V over \( \mathbb{C} \), which can be completed by a zigzag; that is, by a linear chain of smooth rational curves. In this paper we deal with the question of uniqueness of \( \mathbb{C}^{ * } \)-actions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a8b4949da0690e344395ef398925edc
https://doi.org/10.1007/s00031-008-9014-0