scholarly journals The compactified Picard scheme of the compactified Jacobian

2005 ◽  
Vol 198 (2) ◽  
pp. 484-503 ◽  
Author(s):  
Eduardo Esteves ◽  
Steven Kleiman
Keyword(s):  
Compactified Jacobian ◽  
Picard Scheme

Very ampleness for Theta on the compactified Jacobian

1997 ◽  
Vol 226 (2) ◽  
pp. 181-191 ◽  
Author(s):  
Eduardo Esteves
Keyword(s):  
Very Ampleness ◽  
Compactified Jacobian

scholarly journals THE STRONG FRANCHETTA CONJECTURE IN ARBITRARY CHARACTERISTICS

2003 ◽  
Vol 14 (04) ◽  
pp. 371-396
Author(s):  
STEFAN SCHRÖER
Keyword(s):  
Moduli Space ◽  
Rational Points ◽  
Picard Group ◽  
Moduli Space Of Curves ◽  
Canonical Class ◽  
Generic Curve ◽  
Picard Scheme

Using Moriwaki's calculation of the ℚ-Picard group for the moduli space of curves, I prove the strong Franchetta Conjecture in all characteristics. That is, the canonical class generates the group of rational points on the Picard scheme for the generic curve of genus g ≥ 3. Similar results hold for generic pointed curves. Moreover, I show that Hilbert's Irreducibility Theorem implies that there are many other nonclosed points in the moduli space of curves with such properties.

scholarly journals The affine part of the Picard scheme

2009 ◽  
Vol 145 (2) ◽  
pp. 415-422 ◽  
Author(s):  
Thomas Geisser
Keyword(s):  
Maximal Torus ◽  
Perfect Field ◽  
Unipotent Subgroup ◽  
Picard Variety ◽  
Picard Scheme ◽  
Affine Part

AbstractWe describe the maximal torus and maximal unipotent subgroup of the Picard variety of a proper scheme over a perfect field.

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