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Titlebook: Singularities and Computer Algebra; Festschrift for Gert Wolfram Decker,Gerhard Pfister,Mathias Schulze Book 2017 Springer International Pu

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发表于 2025-3-21 17:01:41 | 显示全部楼层 |阅读模式
书目名称Singularities and Computer Algebra
副标题Festschrift for Gert
编辑Wolfram Decker,Gerhard Pfister,Mathias Schulze
视频video
概述Brings together recent original research and survey articles by leading experts in singularity theory and computer algebra.Highlights a large variety of techniques, ranging from theoretical methods to
图书封面Titlebook: Singularities and Computer Algebra; Festschrift for Gert Wolfram Decker,Gerhard Pfister,Mathias Schulze Book 2017 Springer International Pu
描述This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra..Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists..The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level..
出版日期Book 2017
关键词singularity theory; algebraic geometry; topology; complex analysis; computer algebra; ordinary differenti
版次1
doihttps://doi.org/10.1007/978-3-319-28829-1
isbn_softcover978-3-319-80435-4
isbn_ebook978-3-319-28829-1
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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发表于 2025-3-22 00:08:15 | 显示全部楼层
Book 2017eloped the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists..The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level..
发表于 2025-3-22 01:05:53 | 显示全部楼层
Enrique Artal Bartolo,Leire Gorrochategui,Ignacio Luengo,Alejandro Melle-Hernández
发表于 2025-3-22 05:04:34 | 显示全部楼层
On Some Conjectures About Free and Nearly Free Divisors,, their corresponding local singularities can have an arbitrary number of branches. All these examples contradict some of the conjectures proposed by Dimca and Sticlaru. Our examples say nothing about the most remarkable conjecture by A. Dimca and G. Sticlaru, which predicts that every rational cuspidal plane curve is either free or nearly free.
发表于 2025-3-22 09:42:27 | 显示全部楼层
Minors and Categorical Resolutions, called quasi-hereditary, and to a construction of categorical resolutions for singular curves (maybe, non-commutative). In the rational case, this categorical resolution is realized by a finite dimensional quasi-hereditary algebra.
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Some Remarks on Hyperresolutions,ohomologique. Springer Lecture Notes in Mathematics, vol 1335. Springer, Berlin, 1988). We introduce the notion of a very weak resolution of a cubical variety, and we show that it always exists in characteristic zero. This suffices for the proof of the existence of cubical hyperresolutions.
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A Kirwan Blowup and Trees of Vector Bundles, bundles on surfaces has been given, whose boundaries consist of vector bundles on trees of surfaces. In this article a typical basic case for the projective plane is described explicitly including the construction of a relevant Kirwan blowup.
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