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math.AG2002
Weighted Grassmannians
Alessio Corti, Miles Reid
Many classes of projective algebraic varieties can be studied in terms of graded rings. Gorenstein graded rings in small codimension have been studied recently from an algebraic po…
math.AG2002
Update on 3-folds
Miles Reid
The division of compact Riemann surfaces into 3 cases K_C<0, g=0, or K_C=0, g=1, or K_C>0, g>=2 is well known, and corresponds to the familiar trichotomy of spherical, Euclidean an…
math.AG2002
Fano 3-folds, K3 surfaces and graded rings
Selma Altınok, Gavin Brown, Miles Reid
Explicit birational geometry of 3-folds represents a second phase of Mori theory, going beyond the foundational work of the 1980s. This paper is a tutorial and colloquial introduct…