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Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
@article{Dolcetti2002, abstract = {Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.}, author = {Dolcetti, Alberto}, journal = {Collectanea Mathematica}, keywords = {Curvas espaciales; Superficies regladas; Divisores; arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves}, language = {eng}, number = {3}, pages = {265-276}, title = {Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.}, url = {http://eudml.org/doc/42943}, volume = {53}, year = {2002}, }
TY - JOUR AU - Dolcetti, Alberto TI - Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces. JO - Collectanea Mathematica PY - 2002 VL - 53 IS - 3 SP - 265 EP - 276 AB - Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves. LA - eng KW - Curvas espaciales; Superficies regladas; Divisores; arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves UR - http://eudml.org/doc/42943 ER -