M ar 2 00 6 M - REGULARITY AND THE FOURIER - MUKAI TRANSFORM
نویسندگان
چکیده
This is a survey of M-regularity and its applications, expanding on lectures given by the second author at the Seattle conference, in August 2005, and at the Luminy workshop " Géométrie Algébrique Complexe " , in October 2005 1 .
منابع مشابه
2 00 5 M - Regularity and the Fourier - Mukai Transform
This is a survey of M-regularity and its applications, expanding on lectures given by the second author at the Seattle conference, in August 2005, and at the Luminy workshop " Géométrie Algébrique Complexe " , in October 2005 1 .
متن کاملM-regularity and the Fourier-mukai Transform
This is a survey of M -regularity and its applications, expanding on lectures given by the second author at the Seattle conference, in August 2005, and at the Luminy workshop ”Géométrie Algébrique Complexe”, in October 2005.
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This is the first in a series of papers meant to introduce a notion of regularity on abelian varieties and more general irregular varieties. This notion, called Mukai regularity, is based on Mukai’s concept of Fourier transform, and in a very particular form (called Theta regularity) it parallels and strengthens the usual CastelnuovoMumford regularity with respect to polarizations on abelian va...
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I will introduce the notion of Mukai regularity for coherent sheaves on abelian varieties, defined via conditions on the supports of the cohomologies of Fourier-Mukai transform complexes. In a very special form, depending on the choice of a polarization, this resembles and in fact strenghtens the classical notion of Castelnuovo-Mumford regularity. The techniques are in part a generalization of ...
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