Braid monodromy factorization for a non-prime K3 surface branch curve

Meirav Amram, Ciro Ciliberto, Rick Miranda, Mina Teicher

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this paper we consider a non-prime K3 surface of degree 16, and study a specific degeneration of it, known as the (2, 2)-pillow degeneration, [10]. We study also the braid monodromy factorization of the branch curve of the surface with respect to a generic projection onto ℂℙ2. In [4], we compute the fundamental groups of the complement of the branch curve and of the corresponding Galois cover of the surface.

Original languageEnglish
Pages (from-to)61-93
Number of pages33
JournalIsrael Journal of Mathematics
Volume170
Issue number1
DOIs
StatePublished - Mar 2009

Bibliographical note

Funding Information:
∗Partially supported by the DAAD fellowship (Germany), the Golda Meir post-doctoral fellowship (the Einstein Mathematics Institute, Hebrew University, Jerusalem), the Emmy Noether Research Institute for Mathematics (center of the Minerva Foundation of Germany), the Excellency Center “Group Theoretic Methods in the Study of Algebraic Varieties” of the Israel Science Foundation, and EAGER (EU network, HPRN-CT-2009-00099). Received December 14, 2005 and in revised form July 15, 2007

Funding

∗Partially supported by the DAAD fellowship (Germany), the Golda Meir post-doctoral fellowship (the Einstein Mathematics Institute, Hebrew University, Jerusalem), the Emmy Noether Research Institute for Mathematics (center of the Minerva Foundation of Germany), the Excellency Center “Group Theoretic Methods in the Study of Algebraic Varieties” of the Israel Science Foundation, and EAGER (EU network, HPRN-CT-2009-00099). Received December 14, 2005 and in revised form July 15, 2007

FundersFunder number
Einstein Mathematics Institute
Emmy Noether Research Institute for Mathematics
Deutscher Akademischer Austauschdienst
Hebrew University of Jerusalem
Israel Science FoundationHPRN-CT-2009-00099

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