Abelian varieties by Mumford.

By Mumford.

Show description

Read or Download Abelian varieties PDF

Similar algebraic geometry books

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

This variation has been referred to as ‘startlingly up-to-date’, and during this corrected moment printing you'll be convinced that it’s much more contemporaneous. It surveys from a unified perspective either the trendy nation and the traits of continuous improvement in a variety of branches of quantity conception. Illuminated via uncomplicated difficulties, the crucial principles of contemporary theories are laid naked.

Singularity Theory I

From the studies of the 1st printing of this booklet, released as quantity 6 of the Encyclopaedia of Mathematical Sciences: ". .. My normal influence is of a very great e-book, with a well-balanced bibliography, steered! "Medelingen van Het Wiskundig Genootschap, 1995". .. The authors provide right here an up to the moment advisor to the subject and its major functions, together with a few new effects.

An introduction to ergodic theory

This article offers an creation to ergodic idea compatible for readers realizing uncomplicated degree thought. The mathematical must haves are summarized in bankruptcy zero. it's was hoping the reader can be able to take on learn papers after examining the ebook. the 1st a part of the textual content is anxious with measure-preserving variations of likelihood areas; recurrence homes, blending houses, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy thought are mentioned.

Additional resources for Abelian varieties

Example text

To define the refined Chern-Simons theory on a three-manifold M , we needed to study M-theory on Y × T N × S 1 , where Y = T ∗ M with N M5 branes on M × C × S 1 . Consider a dual description of this, by dimensionally reducing on the S 1 of the Taub-Nut space. Without M5 branes, we would obtain IIA string theory on the geometry, Y × R3 × S 1 with a D6 brane wrapping Y × S 1 and sitting at the origin of R3 . Adding the N M5 branes on M × C × S 1 , we get IIA string theory with the addition of N D4 branes, wrapping M × S 1 times a half-line R+ in R3 , ending on the D6 brane.

Dunfield, S. Gukov, and J. Rasmussen, “The Superpotential For Knot Homologies,” Experiment. Math. 15 (2006) 129, math/0505662. [8] E. Witten, “Chern-Simons gauge theory as a string theory,” Prog. Math. 133, 637-678 (1995). [hep-th/9207094]. [9] S. Gukov, A. S. Schwarz, and C. Vafa, “Khovanov-Rozansky Homology And Topological Strings,” Lett. Math. Phys. 74 (2005) 53-74, hep-th/0412243. [10] M. Aganagic and S. 5117 [hep-th]]. [11] N. A. Nekrasov, “Seiberg-Witten prepotential from instanton counting,” Adv.

Seiberg, “Lectures On Rcft,” [20] I. Cherednik and V. Ostrik, ”From Double Affine Hecke Algebra to Fourier Transform”, Selecta Math. ) 9, no. 2, 161-249, (2003). [21] C. Beasley, E. Witten, “Non-Abelian localization for Chern-Simons theory,” J. Diff. Geom. 70, 183-323 (2005). [hep-th/0503126]. [22] S. K. Hansen, ”Reshetikhin-Turaev Invariants of Seifert 3-Manifolds and a Rational Surgery Formula,” Algebr. Geom. Topol. GT/0111057. [23] R. Lawrence and L. Rozansky, ”Witten-Reshetikhin-Turaev Invariants of Seifert Manifolds,” Commun.

Download PDF sample

Rated 4.81 of 5 – based on 5 votes