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1. |
Record Nr. |
UNINA9910896187803321 |
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Autore |
Colarte-Gómez Liena |
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Titolo |
Gröbner's Problem and the Geometry of GT-Varieties / / by Liena Colarte-Gómez, Rosa Maria Miró-Roig |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (161 pages) |
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Collana |
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RSME Springer Series, , 2509-8896 ; ; 15 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Geometry, Algebraic |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- Introduction -- Algebraic Preliminaries -- Invariants of finite abelian groups and aCM projections of Veronese varieties. Applications -- The geometry of 𝑮−varieties -- Invariants of finite groups and the weak Lefschetz property -- Normal bundle of RL-varieties. |
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Sommario/riassunto |
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This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Gröbner's problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of Veronese varieties, and the problem of determining the structure of the algebra of invariants of finite groups. We endeavour to understand their unexpected connection with the weak Lefschetz properties (WLPs) of artinian ideals. In 1967, Gröbner showed that the Veronese variety is aCM and exhibited examples of aCM and nonaCM monomial projections. Motivated by this fact, he posed the problem of determining whether a monomial projection is aCM. In this book, we provide a comprehensive state of the art of Gröbner’s problem and we contribute to this question with families of monomial projections parameterized by invariants of a finite abelian group called G-varieties. We present a new point of view in the study of Gröbner’s problem, relating it to the WLP of Artinian ideals. GT varieties are a subclass of G varieties parameterized by invariants generating an Artinian ideal failing the WLP, called the Galois-Togliatti system. We studied the |
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geometry of the G-varieties; we compute their Hilbert functions, a minimal set of generators of their homogeneous ideals, and the canonical module of their homogeneous coordinate rings to describe their minimal free resolutions. We also investigate the invariance of nonabelian finite groups to stress the link between projections of Veronese surfaces, the invariant theory of finite groups and the WLP. Finally, we introduce a family of smooth rational monomial projections related to G-varieties called RL-varieties. We study the geometry of this family of nonaCM monomial projections and we compute the dimension of the cohomology of the normal bundle of RL varieties. This book is intended to introduce Gröbner’s problem to young researchers and provide new points of view and directions for further investigations. |
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2. |
Record Nr. |
UNINA9910842875403321 |
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Autore |
Meynard Cécile |
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Titolo |
Objets de désir dans la littérature et les arts de l'image / / sous la direction de Cécile Meynard et Gérald Préher ; avec la participation de Suzanne Bray |
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Pubbl/distr/stampa |
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Rennes, France, : Presses universitaires de Rennes, 2024 |
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ISBN |
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Descrizione fisica |
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1 online resource (319 p.) |
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Altri autori (Persone) |
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Soggetti |
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Desire in literature |
Desire in art |
Desire in motion pictures |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Introduction / Cécile Meynard et Gérald Préher -- ; Pt. 1. Incarnation du désir -- Objets sentimentaux : reliques contemporaines d'une relation à l'animal -- Personal Inventory Translated into Pœtic Narrative : Djuna Barnes's Spanish Poupée and the Economy of Desire in Nightwood (1936) -- "A Metaphor and a Motivating Catalyse" Illuminating die Human Heart : Stolen Jewels in British Crime Fiction -- "Love is not the |
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Point" : Objects of Desire in Margaret Atwood's Ihe Handmaid's Tale -- Objets de désir et personnages féminins dans la production romanesque de Cecilia Mantua (1944-1952), entre incitation et prohibition -- ; Pt. 2. Insaisissables objets du désir -- Désir et mélancolie dans les nouvelles de Pierre Loti : les "charmes enivrants de l'impossible" -- Objecta of Desire : Money and Writing in Martin Amis's Money -- Desire and Creative Inspiration : John Fowles's Muse -- Trop ou trop peu : amour et désir(s) dans l'œuvre de Jean Echenoz -- ; Pt. 3. Etranges objets du désir -- "Leading the Unknowing Away" : le désir-désastre dans la peinture et les mémoires de guerre de William Orpen (1878-1931) -- Objects of Desire and Biopower in Bleuie Runner 2049 -- Objets et ambivalences du désir dans le recueil de nouvelles La Vengeance du pardon d'Éric-Emmanuel Schmitt -- Objecta at War : Soldier-Artists in Afghanistan -- ; Pt. 4. Objets du désir féminin -- Ce que les femmes désirent... dans la Bible -- The Pleasure of Utopia : Objects of Desire, Epicureanism and Gender during the Renaissance from Thomas More to Milton -- Wedlock as an Elusive "Object of Desire" : Interrogating Identity in Terry Mcmillan's "Quilting on the Rebound" -- La désirabilité du texte en éruption : lecture de Volcaniques. Une anthologie du plaisir de Léonora Miano. |
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Sommario/riassunto |
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"Cet ouvrage a pour objectif d'offrir une approche originale non pas du désir, qui a été souvent et largement étudié, mais de ses objets, dans leur diversité, leur complexité, leur ambivalence, et leurs variations dans le temps. L'ouvrage est pluridisciplinaire, ce qui permet d'aborder des objets très divers (de la relique à l'âme comme objet de désir), et parfois paradoxaux (du bien connu désir de mort au désir de désastre ou au désir du désir) quand ce n'est pas à l'inverse le désir de ne plus rien désirer ou la disparition complète de l'objet du désir. Les domaines d'analyse sont aussi larges et abordés selon des perspectives croisées qui enrichissent l'approche des "objets de désir" : littéraires, artistiques, philosophiques, cinématographiques, religieuses, historiques... L'originalité de ce volume international (Angleterre, Danemark, Roumanie, Australie, Afrique du Sud...) tient aussi à son bilinguisme, la moitié des textes étant rédigée en anglais."--Page 4 of cover. |
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