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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 4 / 2007 | |||||||
Article: |
BOOK REVIEWS - J. KOLLAR, LECTURES ON RESOLUTION OF SINGULARITIES, PRINCETON UNIVERSITY PRESS (ANNALS OF MATHEMATICS STUDIES, 166), 2007, PAPERBACK, 208 PAGES. Authors: PAUL A. BLAGA. |
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Abstract: Resolution of singularities is one of the most venerable topics in algebraic geometry. We may say that it was, in a way, born before the algebraic geometry, as we know it today, existed. The essence of the theory is easy to explain. If we consider an arbitrary algebraic variety, it usually has singular points and the variety is difficult to study because of these points. It is, however, possible to parameterize any variety by a smooth variety (without singular points) and many properties of the parameterizing variety ar similar to the original one. The process of finding a parameterizing smooth variety of an arbitrary variety is called the resolution of singularities for the given variety. | |||||||
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