Matches in SemOpenAlex for { <https://semopenalex.org/work/W2302461330> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2302461330 abstract "This thesis is devoted to the study of geometric properties of affine algebraic varieties endowed with an action of an algebraic torus. It comes from three preprints which correspond to the indicated points (1), (2), (3). Let $X$ be an affine variety equipped with an action of the algebraic torus $mathbb{T}$. The complexity of the $mathbb{T}$-action on $X$ is the codimension of the general $mathbb{T}$-orbits. Under the assumption of normality and when the ground field is algebraically closed of characteristic 0, the variety $X$ admits a combinatorial description in terms of convex geometry. This description obtained by Altmann and Hausen in the year 2006 generalizes the classical one for toric varieties. Our purpose is to investigate new problems on the algebraic and geometric properties of the variety $X$ when the $mathbb{T}$-action on $X$ is of complexity 1. (1) In the first part, a result gives an effective method to determine the integral closure of any affine variety defined over an algebraically field of characteristic 0 with a $mathbb{T}$-action of complexity 1 in terms of the combinatorial description of Altmann-Hausen. (2) The calculations of the first part suggest a proof of the validity of the presentation of Altmann-Hausen in the case of complexity 1 over an arbitrary ground field. This is done in the second part. (3) In the third part, when the base field is perfect, we classify all the actions of the additive group on $X$ that are normalized by the $mathbb{T}$-action of complexity 1. This classification generalizes classical works of Flenner and Zaidenberg in the surface case and of Liendo when the base field is algebraically closed of characteristic 0." @default.
- W2302461330 created "2016-06-24" @default.
- W2302461330 creator A5070310538 @default.
- W2302461330 date "2013-11-07" @default.
- W2302461330 modified "2023-10-14" @default.
- W2302461330 title "Sur les opérations de tores algébriques de complexité un dans les variétés affines" @default.
- W2302461330 cites W131851401 @default.
- W2302461330 cites W1484680134 @default.
- W2302461330 cites W1503277431 @default.
- W2302461330 cites W1521877949 @default.
- W2302461330 cites W1546119560 @default.
- W2302461330 cites W1558046128 @default.
- W2302461330 cites W1565866500 @default.
- W2302461330 cites W1584561919 @default.
- W2302461330 cites W161168904 @default.
- W2302461330 cites W1614875969 @default.
- W2302461330 cites W1650639606 @default.
- W2302461330 cites W1666681998 @default.
- W2302461330 cites W1934293713 @default.
- W2302461330 cites W1961231300 @default.
- W2302461330 cites W1972538392 @default.
- W2302461330 cites W1975514525 @default.
- W2302461330 cites W2005403964 @default.
- W2302461330 cites W2017700406 @default.
- W2302461330 cites W2021435519 @default.
- W2302461330 cites W2035878227 @default.
- W2302461330 cites W2037177613 @default.
- W2302461330 cites W2037381940 @default.
- W2302461330 cites W2065354300 @default.
- W2302461330 cites W2068360288 @default.
- W2302461330 cites W2069673647 @default.
- W2302461330 cites W2070010379 @default.
- W2302461330 cites W2073382138 @default.
- W2302461330 cites W2082004090 @default.
- W2302461330 cites W2101208183 @default.
- W2302461330 cites W2114995628 @default.
- W2302461330 cites W2118690038 @default.
- W2302461330 cites W2119628471 @default.
- W2302461330 cites W2136972391 @default.
- W2302461330 cites W2149407011 @default.
- W2302461330 cites W2153011997 @default.
- W2302461330 cites W2154303490 @default.
- W2302461330 cites W2318963631 @default.
- W2302461330 cites W2320332468 @default.
- W2302461330 cites W2334322021 @default.
- W2302461330 cites W2949908864 @default.
- W2302461330 cites W3105066666 @default.
- W2302461330 cites W3105161180 @default.
- W2302461330 cites W3187901078 @default.
- W2302461330 hasPublicationYear "2013" @default.
- W2302461330 type Work @default.
- W2302461330 sameAs 2302461330 @default.
- W2302461330 citedByCount "1" @default.
- W2302461330 countsByYear W23024613302014 @default.
- W2302461330 crossrefType "posted-content" @default.
- W2302461330 hasAuthorship W2302461330A5070310538 @default.
- W2302461330 hasBestOaLocation W23024613301 @default.
- W2302461330 hasConcept C138885662 @default.
- W2302461330 hasConcept C15708023 @default.
- W2302461330 hasConcept C33923547 @default.
- W2302461330 hasConceptScore W2302461330C138885662 @default.
- W2302461330 hasConceptScore W2302461330C15708023 @default.
- W2302461330 hasConceptScore W2302461330C33923547 @default.
- W2302461330 hasLocation W23024613301 @default.
- W2302461330 hasLocation W23024613302 @default.
- W2302461330 hasLocation W23024613303 @default.
- W2302461330 hasOpenAccess W2302461330 @default.
- W2302461330 hasPrimaryLocation W23024613301 @default.
- W2302461330 hasRelatedWork W1587224694 @default.
- W2302461330 hasRelatedWork W1979597421 @default.
- W2302461330 hasRelatedWork W2007980826 @default.
- W2302461330 hasRelatedWork W2061531152 @default.
- W2302461330 hasRelatedWork W2069964982 @default.
- W2302461330 hasRelatedWork W2077600819 @default.
- W2302461330 hasRelatedWork W2911598644 @default.
- W2302461330 hasRelatedWork W3002753104 @default.
- W2302461330 hasRelatedWork W4225152035 @default.
- W2302461330 hasRelatedWork W4245490552 @default.
- W2302461330 isParatext "false" @default.
- W2302461330 isRetracted "false" @default.
- W2302461330 magId "2302461330" @default.
- W2302461330 workType "article" @default.