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Monodromy of Kodaira Fibrations of Genus...

Flapan, Laure...

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Monodromy of Kodaira Fibrations of Genus $3$ by Flapan, Laure ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	10-08-2023
Summary	A Kodaira fibration is a non-isotrivial fibration $f\colon S\rightarrow B$ from a smooth algebraic surface $S$ to a smooth algebraic curve $B$ such that all fibers are smooth algebraic curves of genus $g$. Such fibrations arise as complete curves inside the moduli space $\mathcal{M}_g$ of genus $g$ algebraic curves. We investigate here the possible connected monodromy groups of a Kodaira fibration in the case $g=3$ and classify which such groups can arise from a Kodaira fibration obtained as a general complete intersection curve inside a subvariety of $\mathcal{M}_3$ parametrizing curves whose Jacobians have extra endomorphisms.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1709.03164

Citation

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AMA 11th EditionReferences

Flapan, Laure. Monodromy of Kodaira Fibrations of Genus $3$. Australian National University. August 10, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/15254

APA 7th EditionReferences

Flapan, Laure. (2023). Monodromy of Kodaira Fibrations of Genus $3$. Australian National University. https://online.provdatabase.com/cite/15254

Chicago 17th EditionReferences

Flapan, Laure. Monodromy of Kodaira Fibrations of Genus $3$. Australian National University. 2023. https://online.provdatabase.com/cite/15254

HarvardReferences

Flapan, Laure. (2023). Monodromy of Kodaira Fibrations of Genus $3$. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15254. (Accessed 02 October 2025).

Harvard AustraliaReferences

Flapan, Laure, 2023, Monodromy of Kodaira Fibrations of Genus $3$, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/15254>

MLA 9th EditionWorks Cited

Flapan, Laure. Monodromy of Kodaira Fibrations of Genus $3$. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15254.

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