We show that the moduli spaces of Thaddeus pairs on smooth projective curves and those dual are related by d-critical flips, which virtual birational transformations introduced second author. then prove existence fully-faithful functors between derived categories coherent sheaves these spaces. Our result gives an evidence a analogue Bondal-Orlov, Kawamata's D/K equivalence conjecture, also cate...

Nous tenterons dans cet article d’analyser les dynamiques d’implantation, de création et d’extension des lycées à travers le cas d’une ville province, Metz (Moselle), depuis lycée impérial jusqu’aux actuels en passant par ceux construits durant l’annexion la l’Allemagne (1871-1919), extensions remarquables l’entre-deux-guerres enfin constructions industrialisées Trente Glorieuses. Cette étude t...

Let H be an ample line bundle on a non-singular projective surface X , and M(H) the coarse moduli scheme of rank-two H-semistable sheaves with fixed Chern classes on X . We show that if H changes and passes through walls to get closer to KX , then M(H) undergoes natural flips with respect to canonical divisors. When X is minimal and κ(X) ≥ 1, this sequence of flips terminates in M(HX); HX is an...