308 citations · 894 across the 32 of their papers we have counts for
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math.AG2000
Euler characteristics of theta divisors of Jacobians for spectral curves
A. Nakayashiki, F. Smirnov
We show how to calculate the Euler characteristic of an affine Jacobi variety of a spectral curve from its defining equations.
math.AG2000
On the Cohomology of Theta Divisors of Hyperelliptic Jacobians
Atsushi Nakayashiki
We prove that k-th singular cohomology group of the complement of the theta divisor in a hyperelliptic Jacobian is isomorphic to the k-th fundamental representation of the symplect…
math-ph2000★ 24 cited
Cohomologies of Affine Jacobi Varieties and Integrable Systems
A. Nakayashiki, F. A. Smirnov
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to cal…