Oberwolfach Seminars vol. 50 "New Techniques in Resolution of Singularities" is published

The book written by Dan Abramovich, Anne Frühbis-Krüger, Michael Temkin and Jarosław Włodarczyk presents the lecture notes from the corresponding Oberwolfach Seminar given in fall 2021 at the MFO.

Book cover In order to make the Oberwolfach Seminars available to an even larger audience, the MFO supports the publication within the book series Oberwolfach Seminars, published in the Birkhäuser program of Springer Basel. We should like to express our sincere thanks for the combined efforts of the organizers to publish these lecture notes.

The book is available both as printed version and eBook.


About the book

Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a byproduct a short, a simple and efficient functorial resolution procedure in characteristic 0 using just algebraic stacks was produced.

The goals of the book, the result of an Oberwolfach Seminar, are to introduce readers to explicit techniques of resolution of singularities with access to computer implementations, introduce readers to the theories of algebraic stacks and logarithmic structures, and to resolution in families and semistable reduction methods.