Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On the tropical discs counting on elliptic K3 surfaces with general singular fibres


Author: Yu-Shen Lin
Journal: Trans. Amer. Math. Soc. 373 (2020), 1385-1405
MSC (2010): Primary 14N10, 37J05
DOI: https://doi.org/10.1090/tran/7961
Published electronically: November 1, 2019
MathSciNet review: 4068267
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Using Lagrangian Floer theory, we study the tropical geometry of K3 surfaces with more general singular fibres other than simple nodal curves. In particular, we give the local models for the types $I_n$, $II$, $III$ and $IV$ singular fibres in the Kodaira classification. This generalizes the correspondence theorem in “Correspondence theorem between holomorphic discs and tropical discs on K3 surfaces”, arXiv:1703.00411 between open Gromov-Witten invariants/tropical discs counting to these cases.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 14N10, 37J05

Retrieve articles in all journals with MSC (2010): 14N10, 37J05


Additional Information

Yu-Shen Lin
Affiliation: Center of Mathematical Sciences and Applications, 20 Garden Street, Cambridge, Massachusetts 02139
Address at time of publication: Boston University, 111 Cummington Mall, Boston, Massachusetts 02215
MR Author ID: 1192962
Email: yslin@bu.edu

Received by editor(s): April 8, 2018
Received by editor(s) in revised form: August 7, 2019
Published electronically: November 1, 2019
Additional Notes: The author was supported by the Center of Mathematical Sciences and Applications at Harvard University at the time of submitting the paper.
Article copyright: © Copyright 2019 American Mathematical Society