If I were a Springer-Verlag Graduate Text in Mathematics, I would be Robin Hartshorne's Algebraic Geometry.
My creator studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, he became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. My siblings include "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. My creator's current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively.
My creator is married to Edie Churchill, educator and psychotherapist, and has two human sons and one daughter. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished musician, playing flute, piano, and traditional Japanese music on the shakuhachi.
Which Springer GTM would you be?
i would have liked to be "measure and category" by john oxtoby, a book i have just spent 8 months studying.
If I were a Springer-Verlag Graduate Text in Mathematics, I would be David Eisenbud's Commutative Algebra with a view towards Algebraic Geometry.
I am an attempt to write on commutative algebra in a way that includes the geometric ideas that played a great role in its formation; with a view, in short, towards Algebraic Geometry. I cover the material that graduate students studying Algebraic Geometry - and in particular those studying the book Algebraic Geometry by Robin Hartshorne - should know. The reader should have had one year of basic graduate algebra.
I'm pleased that 'my' book implies that it is more advanced that 'your' book, because I'm an asshole, but I am quite a bit confused because:
a) Algebraic Geometry sucks
b) The only thing worse than Algebraic Geometry is Geometry (well, and a bunch of other fields that I don't like -- but Geometry is the worst)
c) With the possible exception of 'paying for a Springer-Verlag Graduate Text in Mathematics'. Ouch.
all of which implies that mabye I'm not a S-V book in the first place, but rather, perhaps, some cheap-ass Calculus study guide that has done several tours in a university bookstore. That would be great, because I am godamned terrible at Calculus. Maybe I could learn something from myself.
algebra, rather than geometry, is the reason i don't want to be algebraic geometry. i like geometry.
anyway, out of that lot i want to be Lang; "algebraic number theory". but only because i have his "undergraduate algebra".