Author: Gianfranco Casnati
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 412

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Book Description

Author: Susan M. Cooper
Publisher: Springer
ISBN: 1493906267
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.

Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1107017653
Category : Mathematics
Languages : en
Pages : 653

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Book Description
This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

Author: J. M. Landsberg
Publisher: Cambridge University Press
ISBN: 110819141X
Category : Computers
Languages : en
Pages : 353

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Book Description
Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

Author: N. J. Hitchin
Publisher: Cambridge University Press
ISBN: 0521498783
Category : Mathematics
Languages : en
Pages : 359

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Book Description
This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Author: Irena Peeva
Publisher: Springer Science & Business Media
ISBN: 1461452929
Category : Mathematics
Languages : en
Pages : 705

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Book Description
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

Author: Johannes Albert Vogelaar
Publisher:
ISBN:
Category : Vector bundles
Languages : en
Pages : 54

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Author: R.K. Lazarsfeld
Publisher: Springer
ISBN: 3642188109
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments

Author: Vladimir Leonidovich Popov
Publisher: Springer Science & Business Media
ISBN: 3662056526
Category : Mathematics
Languages : en
Pages : 244

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Book Description
The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.

Author: S. Greco
Publisher: Springer
ISBN: 3540390898
Category : Mathematics
Languages : en
Pages : 309

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Book Description