Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves
Gavril Farkas, Mircea Mustaţǎ, Mihnea Popa (2003)
Annales scientifiques de l'École Normale Supérieure
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Gavril Farkas, Mircea Mustaţǎ, Mihnea Popa (2003)
Annales scientifiques de l'École Normale Supérieure
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S. Giuffrida, R. Maggioni (2003)
Collectanea Mathematica
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We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.
Ryuji Sasaki (1993)
Compositio Mathematica
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Fabrizio Andreatta (2003)
Annales de l’institut Fourier
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We prove that the locus of Jacobians is an irreducible component of the small Schottky locus in any characteristic different from . The proof follows an idea of B. van Geemen in characteristic and relies on a detailed analysis at the boundary of the - expansion of the Schottky-Jung relations. We obtain algebraically such relations using Mumford’s theory of -adic theta functions. We show how the uniformization theory of semiabelian schemes, as developed by D. Mumford, C.-L. Chai...
Keiji Matsumoto (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Masaaki Homma (1989)
Compositio Mathematica
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Z. Ran (1998)
Collectanea Mathematica
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