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Author: Paolo Aluffi
Publisher: Cambridge University Press
Published: 2022-04-07
Total Pages: 417
ISBN-13: 1108792502
DOWNLOAD EBOOKWritten to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Author: Paolo Aluffi
Publisher: Cambridge University Press
Published: 2022-04-07
Total Pages: 396
ISBN-13: 1108890547
DOWNLOAD EBOOKWritten to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Author: Igor V. Dolgachev
Publisher: Cambridge University Press
Published: 2012-08-16
Total Pages: 653
ISBN-13: 1139560786
DOWNLOAD EBOOKAlgebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Author: Grigoriy Blekherman
Publisher: SIAM
Published: 2013-03-21
Total Pages: 487
ISBN-13: 1611972280
DOWNLOAD EBOOKAn accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Author: Gunnar Fløystad
Publisher: Springer Science & Business Media
Published: 2011-05-16
Total Pages: 186
ISBN-13: 3642194923
DOWNLOAD EBOOKThe Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.
Author: Lucia Caporaso
Publisher: Cambridge University Press
Published: 2012-03-19
Total Pages: 437
ISBN-13: 052176825X
DOWNLOAD EBOOKThis volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author: Arthur Ogus
Publisher: Cambridge University Press
Published: 2018-11-08
Total Pages: 559
ISBN-13: 1107187737
DOWNLOAD EBOOKA self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.
Author: Oscar Garcia-Prada
Publisher: OUP Oxford
Published: 2010-07-01
Total Pages: 456
ISBN-13: 0191567574
DOWNLOAD EBOOKFew people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. He was previously Rouse Ball Professor of Mathematics at Cambridge University, as well as Professor of Mathematics at the University of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society. The chapters in this fascinating volume, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety of subjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid, with some additional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.
Author: Saugata Basu
Publisher: American Mathematical Soc.
Published: 2003-01-01
Total Pages: 238
ISBN-13: 9780821871027
DOWNLOAD EBOOKAlgorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on ''Algorithmic and Quantitative Aspects of Real Algebraic Geometry''. Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
Author: Fred Van Oystaeyen
Publisher: CRC Press
Published: 2007-11-15
Total Pages: 170
ISBN-13: 1420060570
DOWNLOAD EBOOKIntrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat
