Divisibilities among nodal curves

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OriginalspracheEnglisch
Seiten (von - bis)1359-1368
Seitenumfang10
FachzeitschriftMathematical research letters
Jahrgang25
Ausgabenummer4
PublikationsstatusVeröffentlicht - 16 Nov. 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, Jahrgang 25, Nr. 4, 16.11.2018, S. 1359-1368.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Schütt M. Divisibilities among nodal curves. Mathematical research letters. 2018 Nov 16;25(4):1359-1368. doi: 10.48550/arXiv.1706.00570, 10.4310/mrl.2018.v25.n4.a14
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