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.
2020
Divisors on surfaces
Negative divisors
Rigid divisors
Spherelike sheaves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1142306
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