Princeton University

Fine Hall, Washington Road Princeton, NJ 08544-1000

email: kollar@math.princeton.edu

Office: 605 Fine Hall

Math Department Phone: (609) 258 - 4200

Math Department Fax: (609) 258 - 1367

Below is the 2021 version of the book. This is now obsolete, I leave it here since there are references to it in papers.

- Singularities of the minimal model program, Cambridge Univ. Press, by János Kollár and Sándor Kovács
- Lectures on resolution of singularities, Princeton Univ. Press. by János Kollár
- Rational and nearly rational varieties, Cambridge Univ. Press, by János Kollár, Karen E. Smith and Alessio Corti
- Current Topics in Complex Algebraic Geometry, Proceedings of the MSRI Special Year by Herbert Clemens and János Kollár
- Shafarevich Maps and Automorphic Forms, Princeton Univ. Press. by János Kollár
- Rational Curves on Algebraic Varieties, Springer by János Kollár
- Birational Geometry of Algebraic Varieties, by János Kollár and Shigefumi Mori, English edition: Cambridge Univ. Press, Japanese edition: Iwanami Shoten

- Birational Geometry of Log Surfaces by János Kollár and Sándor Kovács
- Moduli of Polarized Schemes by János Kollár
- Algebraic Groups Acting on Schemes by János Kollár
- Bounding Singular Surfaces of General Type by V. Alexeev and S. Mori

- Singularities of Pairs by János Kollár

- Low Degree Polynomial Equations by János Kollár
- Polynomials with Integral Coefficients by János Kollár
- Real Algebraic Threefolds I: Terminal Singularities by János Kollár (small revisons: 1/5/98)
- Real Algebraic Threefolds II: Minimal Model Program by János Kollár (major improvements in sections 2 and 8 on 2/9/98, typos fixed 8/18/98)
- Real Algebraic Threefolds III: Conic Bundles by János Kollár
- Real Algebraic Threefolds IV: Del Pezzo Fibrations by János Kollár
- The Nash conjecture for threefolds by János Kollár
- Effective Nullstellensatz for Arbitrary Ideals by János Kollár (small changes: 8/24/98)
- Rationally Connected Varieties over Local Fields by János Kollár
- The topology of real and complex algebraic varieties by János Kollár (small changes: 4/12/99)
- Fundamental groups of rationally connected varieties by János Kollár
- Semi-continuity of complex singularity exponents and Kaehler-Einstein metrics on Fano orbifolds byJ.-P.\ Demailly and János Kollár
- Characterizations of $P^n$ in arbitrary characteristic by Yasuyuki Kachi and János Kollár
- Unirationality of cubic hypersurfaces by János Kollár
- Kaehler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces by Jennifer M. Johnson and János Kollár (small changes: 3/15/01)
- Fano hypersurfaces in weighted projective 4-spaces by Jennifer M. Johnson and János Kollár. The computer programs and downloadable lists are available at J. Johnson's home page
- The Nash Conjecture for Nonprojective Threefolds by János Kollár
- Real Abelian Varieties with Many Line Bundles by Nuria Joglar-Prieto and János Kollár
- Rationally connected varieties over finite fields by János Kollár and Endre Szabó
- The Nash problem on arc families of singularities by Shihoko Ishii and János Kollár
- Rational Curves on Varieties by Carolina Araujo and János Kollár
- Rationally Connected Varieties and Fundamental Groups by János Kollár

- ERGEBNISSE DER MATHEMATIK, SPRINGER: Projects should be discussed with the Managing Editor or with the editor closest to the subject of the book.