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Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-24166-1
- Collation
- VIII, 134
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 512.5 GUA a
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
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Rigid Geometry of Curves and Their Jacobians
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of cu…
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- ISBN/ISSN
- 978-3-319-27371-6
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Rigid Cohomology over Laurent Series Fields
In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le S…
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- ISBN/ISSN
- 978-3-319-30951-4
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Arithmetic of Finite Fields: 5th International Workshop, WAIFI 2014, Gebze, T…
This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-16277-5
- Collation
- X, 213
- Series Title
- Lecture Notes in Computer Science
- Call Number
- 518.1 ARI a
Constructive Commutative Algebra Projective Modules Over Polynomial Rings and…
The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring. Simple and constructive proofs of some results in the theory …
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- ISBN/ISSN
- 9783319194943
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- vii, 271 pages
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- Call Number
- 518.1
Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept t…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-43648-7
- Collation
- X, 425
- Series Title
- Progress in Mathematics
- Call Number
- 512.5 ARB a
Algebra and Trigonometry
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, build…
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A Gentle Course in Local Class Field Theory
This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions …
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- ISBN/ISSN
- 9781108377751
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Equivariant Ordinary Homology and Cohomology
Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through so…
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- ISBN/ISSN
- 978-3-319-50448-3
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- 1 b/w illustrations
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- -
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