Geodesic
Geometry of the theta divisor of a compactified jacobian
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1385-1427 Cet article a éte moissonné depuis la source EMS Press

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The object of this paper is the theta divisor of the compactified jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an application.
DOI : 10.4171/jems/185
Classification : 14-XX, 00-XX
Keywords: Nodal curve, line bundle, compactified Picard scheme, theta divisor, Abel map, hyperelliptic stable curve. 
@article{JEMS_2009_11_6_a8,
     author = {Lucia Caporaso},
     title = {Geometry of the theta divisor of a compactified jacobian},
     journal = {Journal of the European Mathematical Society},
     pages = {1385--1427},
     year = {2009},
     volume = {11},
     number = {6},
     doi = {10.4171/jems/185},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/185/}
}
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Lucia Caporaso. Geometry of the theta divisor of a compactified jacobian. Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1385-1427. doi: 10.4171/jems/185

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