Resolution of singularities in characteristic zero.
This page contains information for the course MA696W
at Purdue University.
Instructor: J. Wlodarczyk
e-mail: wlodar@math.purdue.edu
office hours: TTh 12:30-13:30, or by appointment; MATH 602
course website: www.math.purdu.edu/~wlodar/singularities/sing.html
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Summary: One of the goals of this course is to present
a simplified Hironaka algorithm of resolution of singularities of
algebraic varieties and analytic spaces.
The course is aimed at graduate students but with low
prerequisites.
Main text:
Simple Hironaka resolution
Additional texts:
Seattle lecture, Kollar,
Resolution of singularities, Cutkosky , Graduate Studies in
Mathematics, ISSN 1065-7339: v. 63 MR 2058431 (2005d:14022)
Resolution of singularities in characteristic zero with focus on the
inductive algorithm by Villamayor , K.Matsuki
Notes on Singularities, Wisniewski
Tentative contents of the course.
Final exam project information.
March, 23 Manish Kumar "Cyclic quotient singularities"
April, 6 Parsa Bakhtary "Toric singularities"
April, 13 YiHuang " Embedded resolution for plane curves"
April, 20 Monique Azar "The
Albanese method for resolving singularities of curves."
April, 25 Darrent Tapp ""Cohomology of the milnor fiber of a
non-reduced
line arrangement".
April, 27 Su-Jeong Kang "Weak Hironaka Theorem" by Bogomolov and Pantev.