On the logarithmic comparison theorem for integrable logarithmic connections Export

@article{citeulike:4372983, abstract = {Let X be a complex analytic manifold, D [sub] X a free divisor with jacobian ideal of linear type (for example, a locally quasi-homogeneous free divisor), j: U = X - D {rightarrowhook} X the corresponding open inclusion, {varepsilon} an integrable logarithmic connection with respect to D and [L] the local system of the horizontal sections of {varepsilon} on U. In this paper we prove that the canonical morphisms [IMG]/medium/pdn04301.gif" ALT="Formula "> are isomorphisms in the derived category of sheaves of complex vector spaces for k >> 0 (locally on X). 10.1112/plms/pdn043}, author = {Calderon and Narvaez}, citeulike-article-id = {4372983}, citeulike-linkout-0 = {http://dx.doi.org/10.1112/plms/pdn043}, citeulike-linkout-1 = {http://plms.oxfordjournals.org/cgi/content/abstract/98/3/585?etoc}, day = {1}, doi = {10.1112/plms/pdn043}, journal = {Proc. London Math. Soc.}, keywords = {abelian\_integrals, algebraic\_geometry, complex\_analysis, confluence, linear\_systems}, month = {May}, number = {3}, pages = {585--606}, posted-at = {2009-04-21 20:54:05}, priority = {2}, title = {On the logarithmic comparison theorem for integrable logarithmic connections}, url = {http://dx.doi.org/10.1112/plms/pdn043}, volume = {98}, year = {2009} }

TY - JOUR ID - citeulike:4372983 L3 - citeulike-article-id:4372983 N2 - Let X be a complex analytic manifold, D [sub] X a free divisor with jacobian ideal of linear type (for example, a locally quasi-homogeneous free divisor), j: U = X - D {rightarrowhook} X the corresponding open inclusion, {varepsilon} an integrable logarithmic connection with respect to D and [L] the local system of the horizontal sections of {varepsilon} on U. In this paper we prove that the canonical morphisms [IMG]/medium/pdn04301.gif" ALT="Formula "> are isomorphisms in the derived category of sheaves of complex vector spaces for k >> 0 (locally on X). 10.1112/plms/pdn043 IS - 3 JF - Proc. London Math. Soc. EP - 606 TI - On the logarithmic comparison theorem for integrable logarithmic connections VL - 98 SP - 585 KW - abelian_integrals KW - algebraic_geometry KW - complex_analysis KW - confluence KW - linear_systems AU - Calderon AU - Narvaez PY - 2009/05/01/ UR - http://dx.doi.org/10.1112/plms/pdn043 ER -