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Xi Chen
Nodal curves on K3 surfaces
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| Published: |
January 20, 2019. |
| Keywords: |
K3 surface, severi variety, moduli space of curves. |
| Subject: |
Primary 14J28; Secondary 14E05. |
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Abstract
In this paper, we study the Severi variety VL,g of genus g curves in |L| on a general polarized K3 surface (X,L). We show that the closure of every component of VL,g contains a component of VL,g-1. As a consequence, we see that the general members of every component of VL,g are nodal. |
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| Acknowledgements
Research partially supported by Discovery Grant 262265 from the Natural Sciences and Engineering Research Council of Canada.
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| Author information
Xi Chen:
632 Central Academic Building
University of Alberta
Edmonton, Alberta T6G 2G1, CANADA
xichen@math.ualberta.ca
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