Details
| Original language | English |
|---|---|
| Pages (from-to) | 1359-1368 |
| Number of pages | 10 |
| Journal | Mathematical research letters |
| Volume | 25 |
| Issue number | 4 |
| Publication status | Published - 16 Nov 2018 |
Abstract
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Mathematical research letters, Vol. 25, No. 4, 16.11.2018, p. 1359-1368.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Divisibilities among nodal curves
AU - Schütt, Matthias
N1 - © 2024 International Press of Boston, Inc. All Rights Reserved.
PY - 2018/11/16
Y1 - 2018/11/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85057126199&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1706.00570
DO - 10.48550/arXiv.1706.00570
M3 - Article
AN - SCOPUS:85057126199
VL - 25
SP - 1359
EP - 1368
JO - Mathematical research letters
JF - Mathematical research letters
SN - 1073-2780
IS - 4
ER -