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Curves on K3 surfaces

Published:2022-11-01 Issue:16 Volume:171 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Chen Xi¹,Gounelas Frank²,Liedtke Christian³

Affiliation:

1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada

2. Fakultät für Mathematik und Informatik, Georg-August-Universität Göttingen, Göttingen, Germany

3. Zentrum Mathematik, Technische Universität München, Munich, Germany

Publisher

Duke University Press

Subject

General Mathematics

Reference66 articles.

1. D. Huybrechts, Lectures on K3 surfaces, Cambridge Stud. Adv. Math. 158, Cambridge Univ. Press, Cambridge, 2016.

2. D. ABRAMOVICH and B. HASSETT, “Stable varieties with a twist” in Classification of Algebraic Varieties, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, 1–38.

3. D. ABRAMOVICH and A. VISTOLI, Compactifying the space of stable maps, J. Amer. Math. Soc. 15 (2002), no. 1, 27–75.

4. J. D. ACHTER, Arithmetic occult period maps, Algebr. Geom. 7 (2020), no. 5, 581–606.

5. C. ARAUJO and J. KOLLÁR, “Rational curves on varieties” in Higher Dimensional Varieties and Rational Points (Budapest, 2001), Bolyai Soc. Math. Stud. 12, Springer, Berlin, 2003, 13–68.

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1. Deformation of pairs and semiregularity;Pacific Journal of Mathematics;2024-04-30

2. Lefschetz-type theorems for the effective cone on Hyperkähler varieties;Mathematische Zeitschrift;2024-04-10

3. Obstructions to deforming maps from curves to surfaces;Journal of the Mathematical Society of Japan;2024-01-25

4. Singular rational curves on elliptic K3 surfaces;Mathematische Nachrichten;2023-04-12

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