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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 246, Pages 154–157 (Mi tm152)  
Monads of Stable Non-bundles on $\mathbb P^2$

B. V. Karpov

Moscow State Institute of Electronics and Mathematics
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Abstract: The property of a semistable sheaf on the projective plane to be non-locally-free is translated to the language of linear algebra. The main result states that such a sheaf is characterized by the existence of some special subcomplex in the Beilinson–Gorodentsev monad.
Received in February 2004
Bibliographic databases:
UDC: 512.723
Language: Russian
Citation: B. V. Karpov, “Monads of Stable Non-bundles on $\mathbb P^2$”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 154–157; Proc. Steklov Inst. Math., 246 (2004), 142–145
Citation in format AMSBIB
\Bibitem{Kar04}
\by B.~V.~Karpov
\paper Monads of Stable Non-bundles on $\mathbb P^2$
\inbook Algebraic geometry: Methods, relations, and applications
\bookinfo Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 246
\pages 154--157
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm152}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101290}
\zmath{https://zbmath.org/?q=an:1099.14500}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 246
\pages 142--145
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