Work on Surprising Examples
I have always loved particular examples which illuminate corners of the mathematical universe. Here are these papers.
- Pathologies of Modular Geometry, Amer. J. of Math., 1961, pp. 339-342.
Scanned reprint and DASH reprint - Further Pathologies in Algebraic Geometry, Amer. J. of Math., 1962, pp. 642-648.
Scanned reprint and DASH reprint - Pathologies III, Amer. J. of Math., 1967, 89, pp. 94-104.
Scanned reprint and DASH reprint - A Remark on the paper of M. Schlessinger, in Complex Analysis, 1972, Rice University Studies, 59, 1973, pp. 113-117. This paper constructs examples of singularities which cannot be deformed away.
Scanned reprint - Some Elementary Examples of Unirational Varieties which are not Rational (with M. Artin), J. London Math. Soc., 1972, 25, pp. 75-95. Also published by request in Accad. Naz. dei Lincei, 1973.
Scanned reprint - Pathologies IV, Amer. J. of Math., 1975, 97, pp. 847-849.
Scanned reprint and DASH reprint - An Algebraic Surface with K ample, (K2) = 9, pg = q = 0, Amer. J. of Math., 1979, 101, pp. 233-244.
Scanned reprint and DASH reprint