Deformations of Zappatic stable surfaces and their Galois covers
This paper considers some algebraic surfaces that can deform to planar Zappatic stable surfaces with a unique singularity of type En. We prove that the Galois covers of these surfaces are all simply connected of general type, for n >= 4, and we give a formula for Chern numbers of such Galois cove...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | This paper considers some algebraic surfaces that can deform to planar
Zappatic stable surfaces with a unique singularity of type En. We prove that
the Galois covers of these surfaces are all simply connected of general type,
for n >= 4, and we give a formula for Chern numbers of such Galois covers. As
an application, we prove that such surfaces do not exist for n>30. Furthermore,
Kollar improves the result to n>9 in Appendix 5. |
---|---|
DOI: | 10.48550/arxiv.2402.06017 |