Journal of Mathematics of Kyoto University

Towards a general theory of unprojection

Stavros Argyrios Papadakis

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Abstract

Unprojection is an effort, initiated by Miles Reid, to develop an algebraic language for the study of birational geometry. [Ki] contains motivation and examples, and poses the problem of developing a general theory of unprojection. The main purpose of the present work is to suggest a general definition of unprojection, and to show that it indeed generalizes previous work done in the topic. In addition, in Section 6 we present an unprojection analysis of an example of Reid and K. Suzuki, and Section 7 contains more examples.

Article information

Source
J. Math. Kyoto Univ., Volume 47, Number 3 (2007), 579-598.

Dates
First available in Project Euclid: 14 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250281025

Digital Object Identifier
doi:10.1215/kjm/1250281025

Mathematical Reviews number (MathSciNet)
MR2402516

Zentralblatt MATH identifier
1145.14039

Subjects
Primary: 14Exx: Birational geometry

Citation

Papadakis, Stavros Argyrios. Towards a general theory of unprojection. J. Math. Kyoto Univ. 47 (2007), no. 3, 579--598. doi:10.1215/kjm/1250281025. https://projecteuclid.org/euclid.kjm/1250281025


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