JÁNOS KOLLÁR
ADDRESS
Department of Mathematics
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
and
review of the paper "Prizes and productivity: how winning the
Fields medal affects scientific output"
by G. J. Borjas and K. B. Doran.
slides for the lecture at AGNES at Rutgers, April 2018
Book on Moduli of Surfaces --- ongoing project
I am writing a book on the moduli of varieties of general type,
more generally about the moduli of pairs (X,D) such that
K_X+D is ample.
Below is the 2017, July 20 version of my book. Chapters 1--5,
9--10 are in (hopefully) close to final form. Chapter 6 is partial. I have
some fragments of the missing chapters 6--8, probably eventually there will
be more than three, so the numbers 9, 10 are temporary.
Any comments are most welcome.
Since these are not final notes, citations, references, proofs
are sometimes missing.
Any comments, corrections or suggestions are welcome.
Chapters 1--5 and 9--10
Hyperlink version
(thanks to Sándor Kovács)
CORRECTIONS TO: Lectures on Resolutions of Singularities
corrections in PDF
The structure of algebraic varieties -- talk at the 2014 Seoul ICM
original slides, with additional comments based on the oral presentation in Seoul, in PDF
BOOKS:
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Singularities of the minimal model program, Cambridge Univ. Press, by János Kollár and Sándor
Kovács
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Lectures on resolution of singularities, Princeton Univ. Press. by János
Kollár
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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
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Shafarevich Maps and Automorphic Forms, Princeton Univ. Press. by János
Kollár
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Rational Curves on Algebraic Varieties, Springer by János Kollár
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Birational Geometry of Algebraic Varieties, by János Kollár
and Shigefumi Mori, English edition: Cambridge Univ. Press, Japanese edition:
Iwanami Shoten
MAT 416: Introduction to Algebraic Geometry
Topics for student projects in
algebraic geometry
MAT 416: Homework for Algebraic Geometry
OLD E-PRINTS:
Unless otherwise indicated, the files below are postscript files.
Seminar on Moduli of Surfaces --- Summer 1994
Santa Cruz 1995
Old Preprints
EDITORIAL INFORMATION:
-
ERGEBNISSE DER MATHEMATIK, SPRINGER: Projects should be discussed with
the Managing Editor or with the editor closest to the subject of the book.