Surfaces with pg = q = 2, K 2 = 6, and Albanese Map of Degree 2
Canadian journal of mathematics, Tome 65 (2013) no. 1, pp. 195-221
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We classify minimal surfaces of general type with ${{p}_{g}}=q=2$ and ${{K}^{2}}=6$ whose Albanese map is a generically finite double cover. We show that the corresponding moduli space is the disjoint union of three generically smooth irreducible components ${{\mathcal{M}}_{Ia}},\,{{\mathcal{M}}_{Ib}},\,{{\mathcal{M}}_{II}}$ of dimension 4, 4, 3, respectively.
Mots-clés :
14J29, 14J10, surface of general type, abelian surface, Albanese map
Penegini, Matteo; Polizzi, Francesco. Surfaces with pg = q = 2, K 2 = 6, and Albanese Map of Degree 2. Canadian journal of mathematics, Tome 65 (2013) no. 1, pp. 195-221. doi: 10.4153/CJM-2012-007-0
@article{10_4153_CJM_2012_007_0,
author = {Penegini, Matteo and Polizzi, Francesco},
title = {Surfaces with pg = q = 2, {K} 2 = 6, and {Albanese} {Map} of {Degree} 2},
journal = {Canadian journal of mathematics},
pages = {195--221},
year = {2013},
volume = {65},
number = {1},
doi = {10.4153/CJM-2012-007-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-007-0/}
}
TY - JOUR AU - Penegini, Matteo AU - Polizzi, Francesco TI - Surfaces with pg = q = 2, K 2 = 6, and Albanese Map of Degree 2 JO - Canadian journal of mathematics PY - 2013 SP - 195 EP - 221 VL - 65 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-007-0/ DO - 10.4153/CJM-2012-007-0 ID - 10_4153_CJM_2012_007_0 ER -
%0 Journal Article %A Penegini, Matteo %A Polizzi, Francesco %T Surfaces with pg = q = 2, K 2 = 6, and Albanese Map of Degree 2 %J Canadian journal of mathematics %D 2013 %P 195-221 %V 65 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-007-0/ %R 10.4153/CJM-2012-007-0 %F 10_4153_CJM_2012_007_0
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