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This is a glossary of algebraic geometry.
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In algebraic geometry, given a pair (X, D) consisting of a normal variety X and a -divisorD on X (e.g., canonical divisor), the discrepancy of the pair (X, D) measures the degree of the singularity of the pair.
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In mathematics, and in particular algebraic geometry, K-stability is an algebro-geometric stability condition for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where it is the correct stability condition to allow the formation of moduli spaces, and where it precisely characterises the existence of Kähler–Einstein metrics.
In algebraic geometry, the Bogomolov–Sommese vanishing theorem is a result related to the Kodaira–Itaka dimension. It is named after Fedor Bogomolov and Andrew Sommese. Its statement has differing versions:
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References
- Iitaka, Shigeru (1976), "Logarithmic forms of algebraic varieties", Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics, 23 (3): 525–544, ISSN 0040-8980, MR 0429884
- Matsuki, Kenji (2002), Introduction to the Mori program, Universitext, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98465-0, MR 1875410
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