47 citations · 382 across the 40 of their papers we have counts for
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alg-geom1996★ 8 cited
Compactified jacobians
Valery Alexeev
Let J be the jacobian of a reduced projective curve C with nodes only. 1) We give a simple and natural definition for its many compactifications and show the connection with variou…
alg-geom1996★ 47 cited
Log canonical singularities and complete moduli of stable pairs
Valery Alexeev
1) Assuming log Minimal Model Conjecture, we give a construction of a complete moduli space of stable log pairs of arbitrary dimension generalizing directly the space M_{g,n} of po…
alg-geom1996★ 3 cited
On Mumford's construction of degenerating abelian varieties
Valery Alexeev, Iku Nakamura
We prove that a 1-dimnl family of abelian varieties with an ample sheaf defining principal polarization can be canonically compactified (after a finite base change) to a projective…