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Homepage: http://www.maths.warwick.ac.uk/~mgross/teachin.html
Email: info@newton.cam.ac.uk
Description:
The material will include some quite basic introduction to 3-folds at
approx MSc level, in the form of lectures, exercise sheets, with
accompanying seminars, tutorial sessions and self-help student seminars.
The material will cover canonical singularities, basic theory of Q-Fanos
and their elephants, a little on Q-RR and vanishing, etc. See [YPG] and
the preface to the book [CR] for a preview of some of the material and
[CR], top of p. 3 for advice on further reading. [YPG] and [Chapters],
(esp. Chapters 3--4 on K3 surfaces and singularities) may be appropriate
for preliminary reading. Mark Gross will also give a course of lectures,
and Corti, Kachi and Takagi will give a few talks on log MMP and the
general background to Shokurov's program. We hope that Mukai will also
give a lecture series on his program of K3 surfaces and Fano 3-folds as
sections of projective homogeneous spaces, possibly with participantion
from Corti, Reid and Takagi. There will also be regular research seminars
and opportunities for graduate seminars.
[FA] J. Koll'ar and others, Flips and abundance, Ast\'erisque 211 (1992)
[Chapters] M. Reid, Chapters on algebraic surfaces, in Complex algebraic varieties, J. Koll\'ar (Ed.), IAS/Park City lecture notes series (1993 volume), AMS, Providence R.I., 1997, 1--154
[YPG] M. Reid, Young person's guide to canonical singularities, in Algebraic Geometry, Bowdoin 1985, ed. S. Bloch, Proc. of Symposia in Pure Math. 46, A.M.S. (1987), vol. 1, 345--414
[CR] A. Corti and M. Reid, preface to book Explicit birational geometry of 3-folds, CUP/LMS lecture notes 2000, pp. 349 + v,
Mail Address:
Isaac Newton Institute for Mathematical Sciences 20 Clarkson Road, Cambridge, CB3 0EH, U.K. Tel.: +44 1223 335999, Fax.: +44 1223 330508
Date received: November 20, 2001
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