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Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $\mathbb{Q}$-Gorenstein smoothing

Autor: Francesco Polizzi, Yongnam Lee

Publikováno v: Algebraic Geometry in East Asia — Taipei 2011, J. A. Chen, M. Chen, Y. Kawamata and J. Keum, eds. (Tokyo: Mathematical Society of Japan, 2015)

We consider the deformation spaces of some singular product-quotient surfaces $X=(C_1 \times C_2)/G$, where the curves $C_i$ have genus 3 and the group $G$ is isomorphic to $\mathbb{Z}_4$. As a by-product, we give a new construction of Todorov surfac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e8a452f464aa03f4e2f9a9de1cf12d8

Complex structure on the rational blowdown of sections in E(4)

Autor: Yongnam Lee

Publikováno v: Algebraic Geometry in East Asia — Seoul 2008, J. H. Keum, S. Kondō, K. Konno and K. Oguiso, eds. (Tokyo: Mathematical Society of Japan, 2010)

We show that there is a complex structure on the symplectic 4-manifold $W_{4, k}$ obtained from the elliptic surface E(4) by rationally blowing down $k$ sections for $2\le k\le 9$. And we interpret it via ${\mathbb Q}$-Gorenstein smoothing. This answ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac96528ae6bad6d2753e440a85092fba
http://arxiv.org/abs/0905.3705

A simply connected surface of general type with $p_g=0$ and $K^2=3$

Autor: Jongil Park, Heesang Park, Dongsoo Shin

Publikováno v: Geom. Topol. 13, no. 2 (2009), 743-767

Motivated by a recent result of Y. Lee and the second author[7], we construct a simply connected minimal complex surface of general type with p_g=0 and K^2=3 using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a similar fashion,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13948dfdb4a356a25c7ddd0c253fdbe2
https://projecteuclid.org/euclid.gt/1513800216

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