On the Castelnuovo-Mumford Regularity of Subspace Arrangements
Author: Jessica S. Sidman
Publisher:
Published: 2002
Total Pages: 170
ISBN-13:
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On the Castelnuovo-Mumford Regularity of Curves and Reduced Schemes
Author: Daniel Micah Giaimo
Publisher:
Published: 2004
Total Pages: 108
ISBN-13:
DOWNLOAD EBOOKThe Geometry of Syzygies
Author: David Eisenbud
Publisher: Springer Science & Business Media
Published: 2006-10-28
Total Pages: 254
ISBN-13: 0387264566
DOWNLOAD EBOOKFirst textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.
Syzygies and Hilbert Functions
Author: Irena Peeva
Publisher: CRC Press
Published: 2007-03-20
Total Pages: 305
ISBN-13: 1420050915
DOWNLOAD EBOOKHilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.
Commutative Algebra
Author: Irena Peeva
Publisher: Springer Science & Business Media
Published: 2013-02-01
Total Pages: 705
ISBN-13: 1461452929
DOWNLOAD EBOOKThis 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.
Positivity in Algebraic Geometry I
Author: R.K. Lazarsfeld
Publisher: Springer
Published: 2017-07-25
Total Pages: 395
ISBN-13: 3642188087
DOWNLOAD EBOOKThis two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Positivity in Algebraic Geometry II
Author: R.K. Lazarsfeld
Publisher: Springer
Published: 2017-07-25
Total Pages: 392
ISBN-13: 3642188109
DOWNLOAD EBOOKTwo 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
Topics in Algebraic and Noncommutative Geometry
Author: Ruth Ingrid Michler
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 254
ISBN-13: 0821832093
DOWNLOAD EBOOKThis book presents the proceedings of two conferences, Resolution des singularites et geometrie non commutative and the Annapolis algebraic geometry conference. Research articles in the volume cover various topics of algebraic geometry, including the theory of Jacobians, singularities, applications to cryptography, and more. The book is suitable for graduate students and research mathematicians interested in algebraic geometry.
Interactions with Lattice Polytopes
Author: Alexander M. Kasprzyk
Publisher: Springer Nature
Published: 2022-06-08
Total Pages: 368
ISBN-13: 3030983277
DOWNLOAD EBOOKThis book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.
Contributions to Algebraic Geometry
Author: Piotr Pragacz
Publisher: European Mathematical Society
Published: 2012
Total Pages: 520
ISBN-13: 9783037191149
DOWNLOAD EBOOKThe articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.
