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A geographical study ofM2P2,4main 

  • Luca Battistella EMAIL logo and Francesca Carocci
Published/Copyright: October 19, 2022
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Abstract

We discuss criteria for a stable map of genus two and degree 4 to the projective plane to be smoothable, as an application of our modular desingularisation ofM2,nPr,dmain via logarithmic geometry and Gorenstein singularities.

MSC 2010: 14H10; 14H20
  1. Communicated by: R. Cavalieri

Acknowledgements

We thank Dhruv Ranganathan for suggesting that we should explore our construction in an example. We are grateful to an anonymous referee for the suggestions that led to an improved exposition of the material contained in this paper. L.B. is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC-2181/1 - 390900948 (the Heidelberg STRUCTURES Cluster of Excellence).

References

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Received: 2020-12-24
Revised: 2021-09-30
Published Online: 2022-10-19
Published in Print: 2022-10-26

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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