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Curve configurations in the projective p...

Czapliński, Adam...

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Curve configurations in the projective plane and their characteristic numbers by Czapliński, Adam ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	12-11-2015
Summary	In this paper we study the concept of characteristic numbers and Chern slopes in the context of curve configurations in the real and complex projective plane. We show that some extremal line configurations inherit the same asymptotic invariants, namely asymptotic Chern slopes and asymptotic Harbourne constants which sheds some light on relations between the bounded negativity conjecture and the geography problem for surfaces of general type. We discuss some properties of Kummer extensions, especially in the context of ball-quotients. Moreover, we prove that for a certain class of smooth curve configurations in the projective plane their characterstic numbers are bounded by 8/3.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1511.03879

Citation

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AMA 11th EditionReferences

Czapliński, Adam. Curve configurations in the projective plane and their characteristic numbers. N.A. November 12, 2015. Accessed August 07, 2025. https://online.provdatabase.com/cite/22662

APA 7th EditionReferences

Czapliński, Adam. (2015). Curve configurations in the projective plane and their characteristic numbers. N.A. https://online.provdatabase.com/cite/22662

Chicago 17th EditionReferences

Czapliński, Adam. Curve configurations in the projective plane and their characteristic numbers. N.A. 2015. https://online.provdatabase.com/cite/22662

HarvardReferences

Czapliński, Adam. (2015). Curve configurations in the projective plane and their characteristic numbers. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22662. (Accessed 07 August 2025).

Harvard AustraliaReferences

Czapliński, Adam, 2015, Curve configurations in the projective plane and their characteristic numbers, N.A, viewed 07 August 2025, <https://online.provdatabase.com/cite/22662>

MLA 9th EditionWorks Cited

Czapliński, Adam. Curve configurations in the projective plane and their characteristic numbers. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22662.

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