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
|
|||||||
Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
|||||||
STUDIA MATHEMATICA - Ediţia nr.4 din 2007 | |||||||
Articol: |
BOOK REVIEWS - J. KOLLAR, LECTURES ON RESOLUTION OF SINGULARITIES, PRINCETON UNIVERSITY PRESS (ANNALS OF MATHEMATICS STUDIES, 166), 2007, PAPERBACK, 208 PAGES. Autori: PAUL A. BLAGA. |
||||||
Rezumat: 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. | |||||||