Explicit Resolutions of Double Point Singularities of Surfaces
Locally analytically, any isolated double point occurs as a double covering of a smooth surface. It can be desingularized via the canonical resolution, as it is well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singul...
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| creator | Calabri, Alberto Ferraro, Rita |
| description | Locally analytically, any isolated double point occurs as a double covering
of a smooth surface. It can be desingularized via the canonical resolution, as
it is well-known. In this paper we explicitly compute the fundamental cycle of
both the canonical and minimal resolution of a double point singularity and we
classify those for which the fundamental cycle differs from the fiber cycle.
Finally we compute the conditions that a double point imposes to pluricanonical
systems. |
| doi_str_mv | 10.48550/arxiv.math/9911183 |
| format | Article |
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of a smooth surface. It can be desingularized via the canonical resolution, as
it is well-known. In this paper we explicitly compute the fundamental cycle of
both the canonical and minimal resolution of a double point singularity and we
classify those for which the fundamental cycle differs from the fiber cycle.
Finally we compute the conditions that a double point imposes to pluricanonical
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of a smooth surface. It can be desingularized via the canonical resolution, as
it is well-known. In this paper we explicitly compute the fundamental cycle of
both the canonical and minimal resolution of a double point singularity and we
classify those for which the fundamental cycle differs from the fiber cycle.
Finally we compute the conditions that a double point imposes to pluricanonical
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of a smooth surface. It can be desingularized via the canonical resolution, as
it is well-known. In this paper we explicitly compute the fundamental cycle of
both the canonical and minimal resolution of a double point singularity and we
classify those for which the fundamental cycle differs from the fiber cycle.
Finally we compute the conditions that a double point imposes to pluricanonical
systems.</abstract><doi>10.48550/arxiv.math/9911183</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry |
| title | Explicit Resolutions of Double Point Singularities of Surfaces |
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