Divisibilities among nodal curves

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Original languageEnglish
Pages (from-to)1359-1368
Number of pages10
JournalMathematical research letters
Volume25
Issue number4
Publication statusPublished - 2018

Abstract

We prove that there are no effective or anti-effective classes of square −1 or −2 arising from nodal curves on smooth algebraic surfaces by way of divisibility. This general fact has interesting applications to Enriques and K3 surfaces. The proof relies on specific properties of root lattices and their dual.

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Divisibilities among nodal curves. / Schütt, Matthias.
In: Mathematical research letters, Vol. 25, No. 4, 2018, p. 1359-1368.

Research output: Contribution to journalArticleResearchpeer review

Schütt M. Divisibilities among nodal curves. Mathematical research letters. 2018;25(4):1359-1368. doi: 10.4310/mrl.2018.v25.n4.a14
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