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Iskovskikh Seminar
November 10, 2011 19:00, Moscow, Steklov Mathematical Institute, room 540
 


Negative curves on algebraic surfaces, on a paper by Th. Bauer, B. Harbourne, A.l. Knutsen, A. Küronya, S. Muller-Stach, T. Szemberg

A. S. Trepalin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: In the work studied curves of negative self-intersection on algebraic surfaces. It's showed that there exist smooth complex projective surfaces $X$, such that $X$ contains reduced, irreducible curves of arbitrary negative self-intersection. Also there is considered other related questions about lower bounds of self-intersection of curves on algebraic surfaces.

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