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Moduli space of $J$-holomorphic subvarie...

Zhang, Weiyi...

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Moduli space of $J$-holomorphic subvarieties by Zhang, Weiyi ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	We study the moduli space of $J$-holomorphic subvarieties in a $4$-dimensional symplectic manifold. For an arbitrary tamed almost complex structure, we show that the moduli space of a sphere class is formed by a family of linear system structures as in algebraic geometry. Among the applications, we show various uniqueness results of $J$-holomorphic subvarieties, e.g. for the fiber and exceptional classes in irrational ruled surfaces. On the other hand, non-uniqueness and other exotic phenomena of subvarieties in complex rational surfaces are explored. In particular, connected subvarieties in an exceptional class with higher genus components are constructed. The moduli space of tori is also discussed, and leads to an extension of the elliptic curve theory.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1601.07855

Citation

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AMA 11th EditionReferences

Zhang, Weiyi. Moduli space of $J$-holomorphic subvarieties. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/12783

APA 7th EditionReferences

Zhang, Weiyi. (2023). Moduli space of $J$-holomorphic subvarieties. Australian National University. https://online.provdatabase.com/cite/12783

Chicago 17th EditionReferences

Zhang, Weiyi. Moduli space of $J$-holomorphic subvarieties. Australian National University. 2023. https://online.provdatabase.com/cite/12783

HarvardReferences

Zhang, Weiyi. (2023). Moduli space of $J$-holomorphic subvarieties. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/12783. (Accessed 02 October 2025).

Harvard AustraliaReferences

Zhang, Weiyi, 2023, Moduli space of $J$-holomorphic subvarieties, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/12783>

MLA 9th EditionWorks Cited

Zhang, Weiyi. Moduli space of $J$-holomorphic subvarieties. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/12783.

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