The author of this monograph argues that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about ...

This text covers Riemann surface theory from elementary aspects to the frontiers of current research. Open and closed surfaces are treated with emphasis on the compact case ...

The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with first volume the ...