We study effective divisors D on surfaces with H0(OD) = k and H1(OD) = H0(OD(D)) = 0. We give a numerical criterion for such divisors, following a general investigation of negativity, rigidity and connectivity properties. Examples include exceptional loci of rational singularities, and spherelike divisors.
Rigid divisors on surfaces
Hochenegger A.;
2020-01-01
Abstract
We study effective divisors D on surfaces with H0(OD) = k and H1(OD) = H0(OD(D)) = 0. We give a numerical criterion for such divisors, following a general investigation of negativity, rigidity and connectivity properties. Examples include exceptional loci of rational singularities, and spherelike divisors.File in questo prodotto:
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