A curve-detecting formula for projective surfaces

We present an intersection-theoretic formula concerning curves on projective surfaces in terms of lattices with special emphasis on minimal resolutions of Q -homology projective planes. This formula can be used to detect the existence/nonexistence of curves with given intersection properties.

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Bibliographic Details
Published in:European journal of mathematics 2019-09, Vol.5 (3), p.903-908
Main Author: Hwang, DongSeon
Format: Article
Language:English
Subjects:
Algebraic Geometry
Homology
Lattices
Mathematics
Mathematics and Statistics
Research Article
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Description
Summary:We present an intersection-theoretic formula concerning curves on projective surfaces in terms of lattices with special emphasis on minimal resolutions of Q -homology projective planes. This formula can be used to detect the existence/nonexistence of curves with given intersection properties.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-018-0240-2