Divisibilities among nodal curves

authored by

Matthias Schütt

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

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Mathematical research letters

Volume

25

Pages

1359-1368

No. of pages

10

ISSN

1073-2780

Publication date

2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Mathematik (insg.)

Electronic version(s)

https://arxiv.org/abs/1706.00570 (Access: Offen)
https://doi.org/10.4310/mrl.2018.v25.n4.a14 (Access: Geschlossen)