Katsylo Pavel Ivanovich

Publications in Math-Net.Ru

1. Natural differential operations on manifolds: an algebraic approach
   
   Mat. Sb., 199:10 (2008),  63–86
2. On Fixed Points of Algebraic Actions on $\mathbb{C}^n$
   
   Funktsional. Anal. i Prilozhen., 34:1 (2000),  41–50
3. The degrees of polynomial self-mappings of $\mathbb C^2$
   
   Mat. Zametki, 63:4 (1998),  527–534
4. Birational geometry of moduli varieties of vector bundles over $\mathbf P^2$
   
   Izv. Akad. Nauk SSSR Ser. Mat., 55:2 (1991),  429–438
5. Rationality of the moduli variety of curves of genus 5
   
   Mat. Sb., 182:3 (1991),  457–464
6. Stable rationality of the field of invariants of linear representations of the groups $\mathrm{PSL}_6$ and $\mathrm{PSL}_{12}$
   
   Mat. Zametki, 48:2 (1990),  49–52
7. Rationality of moduli varieties of plane curves of degree $3k$
   
   Mat. Sb. (N.S.), 136(178):3(7) (1988),  377–383
8. The variety of moduli of curves of genus four is rational
   
   Dokl. Akad. Nauk SSSR, 290:6 (1986),  1292–1294
9. Rationality of some quotient varieties
   
   Mat. Sb. (N.S.), 126(168):4 (1985),  584–589
10. The rationality of moduli spaces of hyperelliptic curves
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984),  705–710
11. Rationality of fields of invariants of reducible representations of the group $\mathrm{SL}_2$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 5,  77–79
12. Rationality of the orbit spaces of irreducible representations of the group $\operatorname{SL}_2$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 47:1 (1983),  26–36
13. Sections of sheets in a reductive algebraic Lie algebra
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:3 (1982),  477–486