Local moduli and singularities / / Olav Arnfinn Laudal, Gerhard Pfister

• Record Nr.: UNISA996466511403316
• Autore: Laudal Olav Arnfinn
• Pubbl/distr/stampa: Berlin, Germany : , : Springer, , [1988]; ©1988
• ISBN: 3-540-39153-3
• Edizione: [1st ed. 1988.]
• Descrizione fisica: 1 online resource (VIII, 120 p.)
• Collana: Lecture Notes in Mathematics, , 0075-8434 ; ; 1310
• Disciplina: 516.35
• Soggetti: Moduli theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: The prorepresenting substratum of the formal moduli -- Automorphisms of the formal moduli -- The kodaira-spencer map and its kernel -- Applications to isolated hypersurface singularities -- Plane curve singularities with k*-action -- The generic component of the local moduli suite -- The moduli suite of x 1 5 +x 2 11 .
• Sommario/riassunto: This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory.

Semiotics of classical music [[electronic resource] ] : how Mozart, Brahms and Wagner talk to us / / Eero Tarasti

• Record Nr.: UNINA9910779332903321
• Autore: Tarasti Eero
• Pubbl/distr/stampa: Berlin ; ; Boston, : De Gruyter Mouton, c2012
• ISBN: 1-283-85709-X; 1-61451-141-1
• Descrizione fisica: 1 online resource (508 p.)
• Collana: Semiotics, communication and cognition, , 1867-0873 ; ; v. 10
• Classificazione: LR 55520
• Disciplina: 302.222; 780.14
• Soggetti: Music - Semiotics; Music - Philosophy and aesthetics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Frontmatter -- Contents -- Preface -- Prelude: Music - A Philosophico-Semiotic Approach -- Chapter 1. Introduction to a Philosophy of Music -- Part I. THE CLASSICAL STYLE -- Chapter 2. Mozart, or, the Idea of a Continuous Avant-garde -- Chapter 3. Existential and Transcendental Analysis of Music -- Chapter 4. Listening to Beethoven: Universal or National, Classic or Romantic? -- Part II. The Romantic Era -- Chapter 5. The irony of romanticism -- Chapter 6. "... ein leiser Ton gezogen ...": Robert Schumann's Fantasie in C major (op. 17) in the light of existential semiotics -- Chapter 7. Brahms and the "Lyric I": A Hermeneutic Sign Analysis -- Chapter 8. Brünnhilde's Choice; or, a Journey into Wagnerian Semiosis: Intuitions and Hypotheses -- Chapter 9. Do Wagner's leitmotifs have a system? -- Part III. Rhetorics and Synaesthesias -- Chapter 10. Proust and Wagner -- Chapter 11. Rhetoric and Musical Discourse -- Chapter 12. The semiosis of light in music: from synaesthesias to narratives -- Chapter 13. The implicit musical semiotics of Marcel Proust -- Chapter 14. M. K. Čiurlionis and the interrelationships of arts -- Chapter 15. Čiurlionis, Sibelius and Nietzsche: Three profiles and interpretations -- Part IV. In the Slavonic World -- Chapter 16. An essay on Russian music -- Chapter 17. The stylistic development of a composer as a cognition of the musicologist: Bohuslav Martinů -- Postlude I -- Chapter 18. Do Semantic Aspects of ; Music Have a Notation? -- Postlude II -- Chapter 19. Music - Superior Communication -- Glossary of Terms -- Bibliography -- Index of persons and musical works
• Sommario/riassunto: Musical semiotics is a new discipline and paradigm of both semiotics and musicology. In its tradition, the current volume constitutes a radically new solution to the theoretical problem of how musical meanings emerge and how they are transmitted by musical signs even in most "absolute" and abstract musical works of Western classical heritage. Works from symphonies, lied, chamber music to opera are approached and studied here with methods of semiotic inspiration. Its analyses stem from systematic methods in the author's previous work, yet totally new analytic concepts are also launched in order to elucidate profound musical significations verbally. The book reflects the new phase in the author's semiotic approach, the one characterized by the so-called "existential semiotics" elaborated on the basis of philosophers from Kant , Hegel and Kierkegaard to Jaspers, Heidegger, Sartre and Marcel. The key notions like musical subject, Schein, becoming, temporality, modalities, Dasein, transcendence put musical facts in a completely new light and perspectives of interpretation. The volume attempts to make explicit what is implicit in every musical interpretation, intuition and understanding: to explain how compositions and composers "talk" to us. Its analyses are accessible due to the book's universal approach. Music is experienced as a language, communicating from one subject to another.