منابع مشابه
Torelli Theorem via Fourier - Mukai Transform
We show that the Fourier transform on the Jacobian of a curve interchanges " δ functions " on the curve and the theta divisor. The Torelli theorem is an immediate consequence. 1. Statement of the theorem. 1.1. We live over an algebraically closed base field k. Let J be an abelian variety equipped with a principal polarization θ : J ∼ → J • = Pic 0 (J), so we have the corresponding Fourier trans...
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In the present paper, we will prove the infinitesimal Torelli theorem for general minimal complex surfaces X’s with c1 = 3, χ(O) = 2, and Tors(X) ≃ Z/3, where c1, χ(O), and Tors(X) are the first Chern class, the Euler characteristic of the structure sheaf, and the torsion part of the Picard group of X, respectively. We will also show that all surfaces with the invariants as above are deformatio...
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In an earlier paper the notion of a filtered derived equivalence was introduced, and it was shown that if two K3 surfaces admit such an equivalence then they are isomorphic. In this paper we study more refined aspects of filtered derived equivalences related to the action on the cohomological realizations of the Mukai motive. It is shown that if a filtered derived equivalence between K3 surface...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2003
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2003-012-5