By David Mumford
From the reports: "Although numerous textbooks on smooth algebraic geometry were released meanwhile, Mumford's "Volume I" is, including its predecessor the pink publication of sorts and schemes, now as sooner than essentially the most very good and profound primers of recent algebraic geometry. either books are only real classics!" Zentralblatt
Read or Download Algebraic Geometry I: Complex Projective Varieties PDF
Similar Algebraic Geometry books
The Iranian revolution nonetheless baffles such a lot Western observers. Few thought of the increase of theocracy in a modernized nation attainable, and less concept it may possibly consequence from a favored revolution. acknowledged Amir Arjomand's The Turban for the Crown offers a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which finds the significance of this singular occasion for our knowing of revolutions.
First textbook-level account of uncomplicated examples and methods during this region. compatible for self-study through a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.
This booklet introduces the speculation of modular types, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner concept; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian kinds linked to Hecke eigenforms.
According to a path given to proficient high-school scholars at Ohio college in 1988, this publication is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It well bridges the distance among conventional books on topology/analysis and extra really expert treatises on fractal geometry.
Additional info for Algebraic Geometry I: Complex Projective Varieties