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The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of τ -functions related to algebraic curves of arbitrary genus is studied in detail. Explicit expressions for t...
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of τ -functions related to algebraic curves of arbitrary genus is studied in detail.
We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed numerical-combinato...
In this work we study a problem about analytic continuation along parallel algebraic curves
For any d\ge 5, I constructed infinitely many pairwise smoothly non-equivalent surfaces F\subset\Cp{2} homeomorphic to a non-singular algebraic curve of degree d, realizing the same homology class as ...
We use a combination of both algebraic and numerical techniques to construct a $C^1$-continuous, piecewise $(m,n)$ rational $\epsilon$-approximation of a real algebraic plane curve of degree $d$. ...
In this paper, I have considered some problems of algebraic curves in some constructive way, especially, I give an algorithm for determining whether two given smooth plane curves are isomorphic and fi...
In this paper, by using the concept of resolvents of a prime ideal introduced by Ritt, we give methods for constructing a hypersurface which is birational to a given irreducible variety and birational...

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