Relevant bibliographies by topics / Godeaux surface

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Godeaux surface'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Godeaux surface"

1

Werner, Caryn. "A four-dimensional deformation of a numerical Godeaux surface." Transactions of the American Mathematical Society 349, no. 4 (1997): 1515–25. http://dx.doi.org/10.1090/s0002-9947-97-01892-8.

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Böhning, Christian, Hans-Christian Graf von Bothmer, and Pawel Sosna. "On the derived category of the classical Godeaux surface." Advances in Mathematics 243 (August 2013): 203–31. http://dx.doi.org/10.1016/j.aim.2013.04.017.

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Murakami, Masaaki. "The torsion group of a certain numerical Godeaux surface." Journal of Mathematics of Kyoto University 41, no. 2 (2001): 323–33. http://dx.doi.org/10.1215/kjm/1250517636.

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KEUM, JONGHAE, and YONGNAM LEE. "Fixed locus of an involution acting on a Godeaux surface." Mathematical Proceedings of the Cambridge Philosophical Society 129, no. 2 (September 2000): 205–16. http://dx.doi.org/10.1017/s0305004100004497.

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Franciosi, Marco, Rita Pardini, and Sönke Rollenske. "Gorenstein stable Godeaux surfaces." Selecta Mathematica 24, no. 4 (July 7, 2017): 3349–79. http://dx.doi.org/10.1007/s00029-017-0342-6.

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Liedtke, Christian. "Non-classical Godeaux surfaces." Mathematische Annalen 343, no. 3 (September 13, 2008): 623–37. http://dx.doi.org/10.1007/s00208-008-0284-6.

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Calabri, Alberto, Ciro Ciliberto, and Margarida Mendes Lopes. "Numerical Godeaux surfaces with an involution." Transactions of the American Mathematical Society 359, no. 04 (October 17, 2006): 1605–33. http://dx.doi.org/10.1090/s0002-9947-06-04110-9.

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Franciosi, Marco, and Sönke Rollenske. "Canonical rings of Gorenstein stable Godeaux surfaces." Bollettino dell'Unione Matematica Italiana 11, no. 1 (January 5, 2017): 75–91. http://dx.doi.org/10.1007/s40574-016-0114-9.

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Coughlan, Stephen, and Giancarlo Urzúa. "On $\boldsymbol{{\mathbb Z}/3}$-Godeaux Surfaces." International Mathematics Research Notices 2018, no. 18 (March 20, 2017): 5609–37. http://dx.doi.org/10.1093/imrn/rnx049.

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Coughlan, Stephen. "EXTENDING HYPERELLIPTIC K3 SURFACES, AND GODEAUX SURFACES WITH π1= ℤ/2." Journal of the Korean Mathematical Society 53, no. 4 (July 1, 2016): 869–93. http://dx.doi.org/10.4134/jkms.j150307.

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Dissertations / Theses on the topic "Godeaux surface"

1

Maggiolo, Stefano. "On the automorphism group of certain algebraic varieties." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4690.

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We study the automorphism groups of two families of varieties. The first is the family of stable curves of low genus. To every such curve, we can associate a combinatorial object, a stable graph, which encode many properties of the curve. Combining the automorphisms of the graph with the known results on the automorphisms of smooth curves, we obtain precise descriptions of the automorphism groups for stable curves with low genera. The second is the family of numerical Godeaux surfaces. We compute in details the automorphism groups of numerical Godeaux surfaces with certain invariants; that is, corresponding to points in some specific connected components of the moduli space; we also give some estimates on the order of the automorphism groups of the other numerical Godeaux surfaces and some characterization on their structures.
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Stenger, Isabel [Verfasser], and Wolfram [Akademischer Betreuer] Decker. "A Homological Approach to Numerical Godeaux Surfaces / Isabel Stenger ; Betreuer: Wolfram Decker." Kaiserslautern : Technische Universität Kaiserslautern, 2018. http://d-nb.info/1174205253/34.

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Kazanova, Anna. "Degenerations of Godeaux surfaces and exceptional vector bundles." 2013. https://scholarworks.umass.edu/dissertations/AAI3603104.

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A recent construction of Hacking relates the classification of stable vector bundles on a surface of general type with geometric genus 0 and the boundary of the moduli space of deformations of the surface. The goal of this thesis is to analyze this relation for Godeaux surfaces. To do this, first, we give a description of some boundary components of the moduli space of Godeaux surfaces. Second, we explicitly construct certain exceptional vector bundles of rank 2 on Godeaux surfaces, stable with respect to the canonical class. Finally, we examine the relation between such boundary components and exceptional vector bundles of rank two on Godeaux surfaces.
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Book chapters on the topic "Godeaux surface"

1

Lopes, Margarida Mendes, and Rita Pardini. "Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations." In From Classical to Modern Algebraic Geometry, 451–73. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32994-9_12.

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"The Chow motive of the Godeaux surface." In Algebraic Geometry, 179–96. De Gruyter, 2002. http://dx.doi.org/10.1515/9783110198072.179.

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Catanese, Fabrizio, and Roberto Pignatelli. "On simply connected Godeaux surfaces." In Complex Analysis and Algebraic Geometry, edited by Thomas Peternell and Frank-Olaf Schreyer. Berlin, Boston: De Gruyter, 2000. http://dx.doi.org/10.1515/9783110806090-007.

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Journal articles
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