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math.AG2005★ 23 cited
Irreducibility of Hurwitz spaces
Vassil Kanev
Graber, Harris and Starr proved, when n >= 2d, the irreducibility of the Hurwitz space H^0_{d,n}(Y) which parametrizes degree d coverings of a smooth, projective curve Y of positiv…
math.AG2002★ 15 cited
Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds
Vassil Kanev
We prove that the moduli spaces A_3(D) of polarized abelian threefolds with polarizations of types D=(1,1,2), (1,2,2), (1,1,3) or (1,3,3) are unirational. The result is based on th…
math.AG1998
Chordal varieties of Veronese varieties and catalecticant matrices
Vassil Kanev
It is proved that the chordal variety of the Veronese variety v_d(P^n) is projectively normal, arithmetically Cohen-Macaulay and its homogeneous ideal is generated by the 3 x 3 min…