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We obtain new criteria for a normal projective variety to be projective $n$-space. Our main result asserts that a normal projective variety which carries a closed, doubly-dominant, unsplitting family… (More)

We show that the birational classification in positive characteristicof smooth Fano threefolds X with Picard number 1 is the same as incharacteristic zero. In particular, there are no exotic such… (More)

This invention relates to a remotely controlled variable capacitor, more particularly, to an electromechanical capacitor with one of the capacitor electrodes mounted on one surface of a bimorph… (More)

In this paper we continue the study (c. f. [C. -K.], [S. -T. 1, 2]) of special Cremona transformations, i.e. those whose base scheme Y is smooth and connected. Crauder and Katz have completely… (More)

Let E be an elliptic curve over a field k. Let R:=End E. There is a functor Hom_R(−,E) from the category of finitely presented torsion-free left R -modules to the category of abelian varieties… (More)

We find an asymptotic description of the period locus of simply connected Jacobian elliptic surfaces and of the period locus of hyperelliptic curves. The two descriptions are essentially the same,… (More)

This thesis has two parts, summarized below. The links between them are discussed at the end of this introduction.
Part 1 is concerned with the problem of giving necessary and sufficient… (More)