Principles of Algebraic Geometry (Pure and Applied by Phillip Griffiths

By Phillip Griffiths

A entire, self-contained therapy providing common result of the idea. Establishes a geometrical instinct and a operating facility with particular geometric practices. Emphasizes functions throughout the learn of attention-grabbing examples and the improvement of computational instruments. insurance levels from analytic to geometric. Treats simple concepts and result of complicated manifold conception, targeting effects acceptable to projective forms, and contains dialogue of the speculation of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complicated in addition to detailed subject matters in complicated manifolds.

Show description

Read Online or Download Principles of Algebraic Geometry (Pure and Applied Mathematics) PDF

Best algebraic geometry books

Introduction to modern number theory : fundamental problems, ideas and theories

This version has been referred to as ‘startlingly up-to-date’, and during this corrected moment printing you will be convinced that it’s much more contemporaneous. It surveys from a unified standpoint either the trendy country and the tendencies of continuous improvement in a number of branches of quantity thought. Illuminated through basic difficulties, the critical principles of recent theories are laid naked.

Singularity Theory I

From the reports of the 1st printing of this ebook, released as quantity 6 of the Encyclopaedia of Mathematical Sciences: ". .. My common impact is of a very great publication, with a well-balanced bibliography, suggested! "Medelingen van Het Wiskundig Genootschap, 1995". .. The authors supply right here an up-to-the-minute consultant to the subject and its major functions, together with a couple of new effects.

An introduction to ergodic theory

This article offers an advent to ergodic concept compatible for readers realizing simple degree thought. The mathematical must haves are summarized in bankruptcy zero. it truly is was hoping the reader can be able to take on study papers after examining the e-book. the 1st a part of the textual content is worried with measure-preserving modifications of chance areas; recurrence homes, blending houses, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy thought are mentioned.

Extra info for Principles of Algebraic Geometry (Pure and Applied Mathematics)

Sample text

Mod. Phys. A 15, 725–754 (2000). [hep-ph/9905237] 28. : Nested sums, expansion of transcendental functions and multiscale multiloop integrals. J. Math. Phys. 43, 3363–3386 (2002). [hep-ph/0110083] 29. : Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms. 0378 [math-ph]] 30. : Harmonic sums and polylogarithms generated by cyclotomic polynomials. J. Math. Phys. 52, 102301 (2011). 6063 [math-ph]] 31. : High precision "-expansions of massive four loop vacuum bubbles Phys.

Phys. Commun. 174, 222–240 (2006). [hep-ph/0507152] 58. : DESY 13-064 Harmonic Sums, Polylogarithms, Special Numbers, and Their Generalizations 29 59. : The theory of deeply inelastic scattering. Prog. Part. Nucl. Phys. 69, 28 (2013). 6087 [hep-ph]] 60. : Structural relations of harmonic sums and Mellin transforms at weight w D 6. , Rosenberg, S. ) Motives, Quantum Field Theory, and Pseudodifferential Operators, vol. 12, pp. 167–186. Clay Mathematics Proceedings, American Mathematical Society (2010).

Phys. Commun. 133, 76–104 (2000). : Analytic continuation of the harmonic sums for the 3-loop anomalous dimensions. Phys. Lett. B 614, 53–61 (2005). [hep-ph/0503188] 119. : Analytic continuation of the Mellin moments of deep inelastic structure functions. [hep-ph/0501274] 120. : DESY Annual Report (2013) Multiple Zeta Values and Modular Forms in Quantum Field Theory David Broadhurst Abstract This article introduces multiple zeta values and alternating Euler sums, exposing some of the rich mathematical structure of these objects and indicating situations where they arise in quantum field theory.

Download PDF sample

Rated 4.09 of 5 – based on 31 votes