Browsing by Author "Burban, Igor"
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Derived categories of irreducible projective curves of arithmetic genus one
Burban, Igor; Kreussler, Bernd (Cambridge Journals, 2006)We investigate the bounded derived category of coherent sheaves on irreducible singular projective curves of arithmetic genus one. A description of the group of exact auto-equivalences and the set of all t-structures ... -
On a relative Fourier-Mukai transform on genus one fibrations
Burban, Igor; Kreussler, Bernd (Springer, 2006)We study relative Fourier-Mukai transforms on genus one fibrations with section, allowing explicitly the total space of the fibration to be singular and non-projective. Grothendieck duality is used to prove a ...