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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 246, Pages 158–180
(Mi tm153)
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This article is cited in 1 scientific paper (total in 1 paper)
An Algebraic Curve $\Sigma\subseteq\mathbb{CP}^2$ with Interesting Topology
L. Katzarkova, N. Nirschlb a University of California, Irvine
b University of California, Riverside
Abstract:
The main point of this paper is to suggest that plane curves with cusps, nodes, and tacnodes only could still have complicated fundamental groups of their complements. After describing such a curve, we compare our results with the results of Allcock, Carlson, and Toledo from the perspective of homological mirror symmetry. We connect some classical ideas of Zariski with some modern ideas emphasizing unity of mathematics—a leading line in Tyurin's work.
Received in February 2004
Citation:
L. Katzarkov, N. Nirschl, “An Algebraic Curve $\Sigma\subseteq\mathbb{CP}^2$ with Interesting Topology”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 158–180; Proc. Steklov Inst. Math., 246 (2004), 146–168
Linking options:
https://www.mathnet.ru/eng/tm153 https://www.mathnet.ru/eng/tm/v246/p158
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Abstract page: | 257 | Full-text PDF : | 95 | References: | 59 |
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